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Finding the Fourth Proportional to 7,257.42, 10,875.62 and 5,003.63

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Solution

The fourth proportional to 7,257.42, 10,875.62 and 5,003.63 is: 7,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.42 : 10,875.62 = 5,003.63 : x
  2. Step 2: Convert to fraction form
    7,257.42/10,875.62 = 5,003.63/x
  3. Step 3: Cross multiply
    7,257.42x = 10,875.62 × 5,003.63
  4. Step 4: Simplify right side
    7,257.42x = 54,417,553.48
  5. Step 5: Solve for x
    x = 54,417,553.48/7,257.42
  6. Step 6: Final answer
    x = 7,498.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.