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Finding the Fourth Proportional to 10,935.66, 16,405.10 and 3,537.66

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Solution

The fourth proportional to 10,935.66, 16,405.10 and 3,537.66 is: 5,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.66 : 16,405.10 = 3,537.66 : x
  2. Step 2: Convert to fraction form
    10,935.66/16,405.10 = 3,537.66/x
  3. Step 3: Cross multiply
    10,935.66x = 16,405.10 × 3,537.66
  4. Step 4: Simplify right side
    10,935.66x = 58,035,666.07
  5. Step 5: Solve for x
    x = 58,035,666.07/10,935.66
  6. Step 6: Final answer
    x = 5,307.01

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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.