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Finding the Fourth Proportional to 11,397.36, 15,714.36 and 8,252.40

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Solution

The fourth proportional to 11,397.36, 15,714.36 and 8,252.40 is: 11,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.36 : 15,714.36 = 8,252.40 : x
  2. Step 2: Convert to fraction form
    11,397.36/15,714.36 = 8,252.40/x
  3. Step 3: Cross multiply
    11,397.36x = 15,714.36 × 8,252.40
  4. Step 4: Simplify right side
    11,397.36x = 129,681,184.46
  5. Step 5: Solve for x
    x = 129,681,184.46/11,397.36
  6. Step 6: Final answer
    x = 11,378.18

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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.