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Finding the Fourth Proportional to 7,023.76, 10,537.80 and 4,215.72

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Solution

The fourth proportional to 7,023.76, 10,537.80 and 4,215.72 is: 6,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.76 : 10,537.80 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    7,023.76/10,537.80 = 4,215.72/x
  3. Step 3: Cross multiply
    7,023.76x = 10,537.80 × 4,215.72
  4. Step 4: Simplify right side
    7,023.76x = 44,424,414.22
  5. Step 5: Solve for x
    x = 44,424,414.22/7,023.76
  6. Step 6: Final answer
    x = 6,324.88

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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.