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Finding the Fourth Proportional to 11,498.32, 15,874.16 and 7,523.52

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Solution

The fourth proportional to 11,498.32, 15,874.16 and 7,523.52 is: 10,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.32 : 15,874.16 = 7,523.52 : x
  2. Step 2: Convert to fraction form
    11,498.32/15,874.16 = 7,523.52/x
  3. Step 3: Cross multiply
    11,498.32x = 15,874.16 × 7,523.52
  4. Step 4: Simplify right side
    11,498.32x = 119,429,560.24
  5. Step 5: Solve for x
    x = 119,429,560.24/11,498.32
  6. Step 6: Final answer
    x = 10,386.70

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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.