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Finding the Fourth Proportional to 8,123.32, 11,210.17 and 4,397.32

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Solution

The fourth proportional to 8,123.32, 11,210.17 and 4,397.32 is: 6,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.32 : 11,210.17 = 4,397.32 : x
  2. Step 2: Convert to fraction form
    8,123.32/11,210.17 = 4,397.32/x
  3. Step 3: Cross multiply
    8,123.32x = 11,210.17 × 4,397.32
  4. Step 4: Simplify right side
    8,123.32x = 49,294,704.74
  5. Step 5: Solve for x
    x = 49,294,704.74/8,123.32
  6. Step 6: Final answer
    x = 6,068.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.