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Finding the Fourth Proportional to 7,521.32, 10,374.90 and 5,537

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Solution

The fourth proportional to 7,521.32, 10,374.90 and 5,537 is: 7,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.32 : 10,374.90 = 5,537 : x
  2. Step 2: Convert to fraction form
    7,521.32/10,374.90 = 5,537/x
  3. Step 3: Cross multiply
    7,521.32x = 10,374.90 × 5,537
  4. Step 4: Simplify right side
    7,521.32x = 57,445,821.30
  5. Step 5: Solve for x
    x = 57,445,821.30/7,521.32
  6. Step 6: Final answer
    x = 7,637.73

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