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Finding the Fourth Proportional to 8,337.64, 11,505.46 and 4,560.05

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Solution

The fourth proportional to 8,337.64, 11,505.46 and 4,560.05 is: 6,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.64 : 11,505.46 = 4,560.05 : x
  2. Step 2: Convert to fraction form
    8,337.64/11,505.46 = 4,560.05/x
  3. Step 3: Cross multiply
    8,337.64x = 11,505.46 × 4,560.05
  4. Step 4: Simplify right side
    8,337.64x = 52,465,472.87
  5. Step 5: Solve for x
    x = 52,465,472.87/8,337.64
  6. Step 6: Final answer
    x = 6,292.60

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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.