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Finding the Fourth Proportional to 11,382.66, 15,710.49 and 7,654.50

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Solution

The fourth proportional to 11,382.66, 15,710.49 and 7,654.50 is: 10,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.66 : 15,710.49 = 7,654.50 : x
  2. Step 2: Convert to fraction form
    11,382.66/15,710.49 = 7,654.50/x
  3. Step 3: Cross multiply
    11,382.66x = 15,710.49 × 7,654.50
  4. Step 4: Simplify right side
    11,382.66x = 120,255,945.71
  5. Step 5: Solve for x
    x = 120,255,945.71/11,382.66
  6. Step 6: Final answer
    x = 10,564.84

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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.