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Finding the Fourth Proportional to 7,610.40, 11,397.12 and 5,264.16

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Solution

The fourth proportional to 7,610.40, 11,397.12 and 5,264.16 is: 7,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.40 : 11,397.12 = 5,264.16 : x
  2. Step 2: Convert to fraction form
    7,610.40/11,397.12 = 5,264.16/x
  3. Step 3: Cross multiply
    7,610.40x = 11,397.12 × 5,264.16
  4. Step 4: Simplify right side
    7,610.40x = 59,996,263.22
  5. Step 5: Solve for x
    x = 59,996,263.22/7,610.40
  6. Step 6: Final answer
    x = 7,883.46

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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.