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Finding the Fourth Proportional to 8,507.60, 12,773.55 and 6,442.10

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Solution

The fourth proportional to 8,507.60, 12,773.55 and 6,442.10 is: 9,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.60 : 12,773.55 = 6,442.10 : x
  2. Step 2: Convert to fraction form
    8,507.60/12,773.55 = 6,442.10/x
  3. Step 3: Cross multiply
    8,507.60x = 12,773.55 × 6,442.10
  4. Step 4: Simplify right side
    8,507.60x = 82,288,486.46
  5. Step 5: Solve for x
    x = 82,288,486.46/8,507.60
  6. Step 6: Final answer
    x = 9,672.35

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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.