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Finding the Fourth Proportional to 5,460.62, 8,196.39 and 5,407.16

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Solution

The fourth proportional to 5,460.62, 8,196.39 and 5,407.16 is: 8,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.62 : 8,196.39 = 5,407.16 : x
  2. Step 2: Convert to fraction form
    5,460.62/8,196.39 = 5,407.16/x
  3. Step 3: Cross multiply
    5,460.62x = 8,196.39 × 5,407.16
  4. Step 4: Simplify right side
    5,460.62x = 44,319,151.17
  5. Step 5: Solve for x
    x = 44,319,151.17/5,460.62
  6. Step 6: Final answer
    x = 8,116.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.