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Finding the Fourth Proportional to 7,264.98, 10,881.14 and 6,315.71

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Solution

The fourth proportional to 7,264.98, 10,881.14 and 6,315.71 is: 9,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.98 : 10,881.14 = 6,315.71 : x
  2. Step 2: Convert to fraction form
    7,264.98/10,881.14 = 6,315.71/x
  3. Step 3: Cross multiply
    7,264.98x = 10,881.14 × 6,315.71
  4. Step 4: Simplify right side
    7,264.98x = 68,722,038.73
  5. Step 5: Solve for x
    x = 68,722,038.73/7,264.98
  6. Step 6: Final answer
    x = 9,459.36

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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.