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Finding the Fourth Proportional to 7,531.76, 10,397.40 and 5,018.06

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Solution

The fourth proportional to 7,531.76, 10,397.40 and 5,018.06 is: 6,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.76 : 10,397.40 = 5,018.06 : x
  2. Step 2: Convert to fraction form
    7,531.76/10,397.40 = 5,018.06/x
  3. Step 3: Cross multiply
    7,531.76x = 10,397.40 × 5,018.06
  4. Step 4: Simplify right side
    7,531.76x = 52,174,777.04
  5. Step 5: Solve for x
    x = 52,174,777.04/7,531.76
  6. Step 6: Final answer
    x = 6,927.30

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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.