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Finding the Fourth Proportional to 10,935.30, 16,415.94 and 10,489.68

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Solution

The fourth proportional to 10,935.30, 16,415.94 and 10,489.68 is: 15,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.30 : 16,415.94 = 10,489.68 : x
  2. Step 2: Convert to fraction form
    10,935.30/16,415.94 = 10,489.68/x
  3. Step 3: Cross multiply
    10,935.30x = 16,415.94 × 10,489.68
  4. Step 4: Simplify right side
    10,935.30x = 172,197,957.50
  5. Step 5: Solve for x
    x = 172,197,957.50/10,935.30
  6. Step 6: Final answer
    x = 15,746.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.