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Finding the Fourth Proportional to 8,292.60, 11,446.14 and 5,462.04

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Solution

The fourth proportional to 8,292.60, 11,446.14 and 5,462.04 is: 7,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.60 : 11,446.14 = 5,462.04 : x
  2. Step 2: Convert to fraction form
    8,292.60/11,446.14 = 5,462.04/x
  3. Step 3: Cross multiply
    8,292.60x = 11,446.14 × 5,462.04
  4. Step 4: Simplify right side
    8,292.60x = 62,519,274.53
  5. Step 5: Solve for x
    x = 62,519,274.53/8,292.60
  6. Step 6: Final answer
    x = 7,539.16

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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.