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Finding the Fourth Proportional to 8,364.57, 11,542.50 and 4,587.72

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Solution

The fourth proportional to 8,364.57, 11,542.50 and 4,587.72 is: 6,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.57 : 11,542.50 = 4,587.72 : x
  2. Step 2: Convert to fraction form
    8,364.57/11,542.50 = 4,587.72/x
  3. Step 3: Cross multiply
    8,364.57x = 11,542.50 × 4,587.72
  4. Step 4: Simplify right side
    8,364.57x = 52,953,758.10
  5. Step 5: Solve for x
    x = 52,953,758.10/8,364.57
  6. Step 6: Final answer
    x = 6,330.72

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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.