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Finding the Fourth Proportional to 8,158.78, 11,248.21 and 6,485.74

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Solution

The fourth proportional to 8,158.78, 11,248.21 and 6,485.74 is: 8,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.78 : 11,248.21 = 6,485.74 : x
  2. Step 2: Convert to fraction form
    8,158.78/11,248.21 = 6,485.74/x
  3. Step 3: Cross multiply
    8,158.78x = 11,248.21 × 6,485.74
  4. Step 4: Simplify right side
    8,158.78x = 72,952,965.53
  5. Step 5: Solve for x
    x = 72,952,965.53/8,158.78
  6. Step 6: Final answer
    x = 8,941.65

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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.