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Finding the Fourth Proportional to 10,397.84, 14,339.52 and 8,129.52

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Solution

The fourth proportional to 10,397.84, 14,339.52 and 8,129.52 is: 11,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.84 : 14,339.52 = 8,129.52 : x
  2. Step 2: Convert to fraction form
    10,397.84/14,339.52 = 8,129.52/x
  3. Step 3: Cross multiply
    10,397.84x = 14,339.52 × 8,129.52
  4. Step 4: Simplify right side
    10,397.84x = 116,573,414.63
  5. Step 5: Solve for x
    x = 116,573,414.63/10,397.84
  6. Step 6: Final answer
    x = 11,211.31

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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.