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Finding the Fourth Proportional to 10,695.30, 16,045.51 and 3,199.50

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Solution

The fourth proportional to 10,695.30, 16,045.51 and 3,199.50 is: 4,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.30 : 16,045.51 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    10,695.30/16,045.51 = 3,199.50/x
  3. Step 3: Cross multiply
    10,695.30x = 16,045.51 × 3,199.50
  4. Step 4: Simplify right side
    10,695.30x = 51,337,566.06
  5. Step 5: Solve for x
    x = 51,337,566.06/10,695.30
  6. Step 6: Final answer
    x = 4,800.01

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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.