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Finding the Fourth Proportional to 7,411.97, 10,227.53 and 4,762.95

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Solution

The fourth proportional to 7,411.97, 10,227.53 and 4,762.95 is: 6,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.97 : 10,227.53 = 4,762.95 : x
  2. Step 2: Convert to fraction form
    7,411.97/10,227.53 = 4,762.95/x
  3. Step 3: Cross multiply
    7,411.97x = 10,227.53 × 4,762.95
  4. Step 4: Simplify right side
    7,411.97x = 48,713,225.92
  5. Step 5: Solve for x
    x = 48,713,225.92/7,411.97
  6. Step 6: Final answer
    x = 6,572.24

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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.