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Finding the Fourth Proportional to 8,652.16, 11,948.75 and 7,454.71

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Solution

The fourth proportional to 8,652.16, 11,948.75 and 7,454.71 is: 10,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.16 : 11,948.75 = 7,454.71 : x
  2. Step 2: Convert to fraction form
    8,652.16/11,948.75 = 7,454.71/x
  3. Step 3: Cross multiply
    8,652.16x = 11,948.75 × 7,454.71
  4. Step 4: Simplify right side
    8,652.16x = 89,074,466.11
  5. Step 5: Solve for x
    x = 89,074,466.11/8,652.16
  6. Step 6: Final answer
    x = 10,295.06

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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.