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Finding the Fourth Proportional to 10,964.68, 15,120.50 and 10,054.04

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Solution

The fourth proportional to 10,964.68, 15,120.50 and 10,054.04 is: 13,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.68 : 15,120.50 = 10,054.04 : x
  2. Step 2: Convert to fraction form
    10,964.68/15,120.50 = 10,054.04/x
  3. Step 3: Cross multiply
    10,964.68x = 15,120.50 × 10,054.04
  4. Step 4: Simplify right side
    10,964.68x = 152,022,061.55
  5. Step 5: Solve for x
    x = 152,022,061.55/10,964.68
  6. Step 6: Final answer
    x = 13,864.71

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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.