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Finding the Fourth Proportional to 8,314.60, 12,445.80 and 4,561.24

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Solution

The fourth proportional to 8,314.60, 12,445.80 and 4,561.24 is: 6,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.60 : 12,445.80 = 4,561.24 : x
  2. Step 2: Convert to fraction form
    8,314.60/12,445.80 = 4,561.24/x
  3. Step 3: Cross multiply
    8,314.60x = 12,445.80 × 4,561.24
  4. Step 4: Simplify right side
    8,314.60x = 56,768,280.79
  5. Step 5: Solve for x
    x = 56,768,280.79/8,314.60
  6. Step 6: Final answer
    x = 6,827.54

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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.