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Finding the Fourth Proportional to 12,077.47, 16,666.65 and 6,772.17

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Solution

The fourth proportional to 12,077.47, 16,666.65 and 6,772.17 is: 9,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.47 : 16,666.65 = 6,772.17 : x
  2. Step 2: Convert to fraction form
    12,077.47/16,666.65 = 6,772.17/x
  3. Step 3: Cross multiply
    12,077.47x = 16,666.65 × 6,772.17
  4. Step 4: Simplify right side
    12,077.47x = 112,869,387.13
  5. Step 5: Solve for x
    x = 112,869,387.13/12,077.47
  6. Step 6: Final answer
    x = 9,345.45

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