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Finding the Fourth Proportional to 10,713.87, 14,792.02 and 7,355.61

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Solution

The fourth proportional to 10,713.87, 14,792.02 and 7,355.61 is: 10,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.87 : 14,792.02 = 7,355.61 : x
  2. Step 2: Convert to fraction form
    10,713.87/14,792.02 = 7,355.61/x
  3. Step 3: Cross multiply
    10,713.87x = 14,792.02 × 7,355.61
  4. Step 4: Simplify right side
    10,713.87x = 108,804,311.84
  5. Step 5: Solve for x
    x = 108,804,311.84/10,713.87
  6. Step 6: Final answer
    x = 10,155.46

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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.