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Finding the Fourth Proportional to 10,755.64, 14,841.17 and 6,039.01

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Solution

The fourth proportional to 10,755.64, 14,841.17 and 6,039.01 is: 8,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.64 : 14,841.17 = 6,039.01 : x
  2. Step 2: Convert to fraction form
    10,755.64/14,841.17 = 6,039.01/x
  3. Step 3: Cross multiply
    10,755.64x = 14,841.17 × 6,039.01
  4. Step 4: Simplify right side
    10,755.64x = 89,625,914.93
  5. Step 5: Solve for x
    x = 89,625,914.93/10,755.64
  6. Step 6: Final answer
    x = 8,332.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.