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Finding the Fourth Proportional to 11,564.52, 15,965.91 and 7,592.59

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Solution

The fourth proportional to 11,564.52, 15,965.91 and 7,592.59 is: 10,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.52 : 15,965.91 = 7,592.59 : x
  2. Step 2: Convert to fraction form
    11,564.52/15,965.91 = 7,592.59/x
  3. Step 3: Cross multiply
    11,564.52x = 15,965.91 × 7,592.59
  4. Step 4: Simplify right side
    11,564.52x = 121,222,608.61
  5. Step 5: Solve for x
    x = 121,222,608.61/11,564.52
  6. Step 6: Final answer
    x = 10,482.29

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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.