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Finding the Fourth Proportional to 7,248.54, 10,023.12 and 5,753.87

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Solution

The fourth proportional to 7,248.54, 10,023.12 and 5,753.87 is: 7,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.54 : 10,023.12 = 5,753.87 : x
  2. Step 2: Convert to fraction form
    7,248.54/10,023.12 = 5,753.87/x
  3. Step 3: Cross multiply
    7,248.54x = 10,023.12 × 5,753.87
  4. Step 4: Simplify right side
    7,248.54x = 57,671,679.36
  5. Step 5: Solve for x
    x = 57,671,679.36/7,248.54
  6. Step 6: Final answer
    x = 7,956.32

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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.