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Finding the Fourth Proportional to 7,569.38, 10,445.74 and 4,257.38

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Solution

The fourth proportional to 7,569.38, 10,445.74 and 4,257.38 is: 5,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.38 : 10,445.74 = 4,257.38 : x
  2. Step 2: Convert to fraction form
    7,569.38/10,445.74 = 4,257.38/x
  3. Step 3: Cross multiply
    7,569.38x = 10,445.74 × 4,257.38
  4. Step 4: Simplify right side
    7,569.38x = 44,471,421.69
  5. Step 5: Solve for x
    x = 44,471,421.69/7,569.38
  6. Step 6: Final answer
    x = 5,875.18

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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.