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Finding the Fourth Proportional to 8,158.60, 11,262.72 and 6,142.78

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Solution

The fourth proportional to 8,158.60, 11,262.72 and 6,142.78 is: 8,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.60 : 11,262.72 = 6,142.78 : x
  2. Step 2: Convert to fraction form
    8,158.60/11,262.72 = 6,142.78/x
  3. Step 3: Cross multiply
    8,158.60x = 11,262.72 × 6,142.78
  4. Step 4: Simplify right side
    8,158.60x = 69,184,411.16
  5. Step 5: Solve for x
    x = 69,184,411.16/8,158.60
  6. Step 6: Final answer
    x = 8,479.94

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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.