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Finding the Fourth Proportional to 11,538.57, 15,921.88 and 7,064.94

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Solution

The fourth proportional to 11,538.57, 15,921.88 and 7,064.94 is: 9,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.57 : 15,921.88 = 7,064.94 : x
  2. Step 2: Convert to fraction form
    11,538.57/15,921.88 = 7,064.94/x
  3. Step 3: Cross multiply
    11,538.57x = 15,921.88 × 7,064.94
  4. Step 4: Simplify right side
    11,538.57x = 112,487,126.89
  5. Step 5: Solve for x
    x = 112,487,126.89/11,538.57
  6. Step 6: Final answer
    x = 9,748.79

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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.