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Finding the Fourth Proportional to 11,747.32, 16,210.14 and 7,031.48

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Solution

The fourth proportional to 11,747.32, 16,210.14 and 7,031.48 is: 9,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.32 : 16,210.14 = 7,031.48 : x
  2. Step 2: Convert to fraction form
    11,747.32/16,210.14 = 7,031.48/x
  3. Step 3: Cross multiply
    11,747.32x = 16,210.14 × 7,031.48
  4. Step 4: Simplify right side
    11,747.32x = 113,981,275.21
  5. Step 5: Solve for x
    x = 113,981,275.21/11,747.32
  6. Step 6: Final answer
    x = 9,702.75

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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.