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Finding the Fourth Proportional to 10,935.45, 16,402.17 and 6,549.69

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Solution

The fourth proportional to 10,935.45, 16,402.17 and 6,549.69 is: 9,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.45 : 16,402.17 = 6,549.69 : x
  2. Step 2: Convert to fraction form
    10,935.45/16,402.17 = 6,549.69/x
  3. Step 3: Cross multiply
    10,935.45x = 16,402.17 × 6,549.69
  4. Step 4: Simplify right side
    10,935.45x = 107,429,128.83
  5. Step 5: Solve for x
    x = 107,429,128.83/10,935.45
  6. Step 6: Final answer
    x = 9,823.93

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