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Finding the Fourth Proportional to 8,500.48, 11,732.64 and 4,964.16

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Solution

The fourth proportional to 8,500.48, 11,732.64 and 4,964.16 is: 6,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.48 : 11,732.64 = 4,964.16 : x
  2. Step 2: Convert to fraction form
    8,500.48/11,732.64 = 4,964.16/x
  3. Step 3: Cross multiply
    8,500.48x = 11,732.64 × 4,964.16
  4. Step 4: Simplify right side
    8,500.48x = 58,242,702.18
  5. Step 5: Solve for x
    x = 58,242,702.18/8,500.48
  6. Step 6: Final answer
    x = 6,851.70

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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.