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Finding the Fourth Proportional to 10,439.76, 15,655.28 and 7,153.84

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Solution

The fourth proportional to 10,439.76, 15,655.28 and 7,153.84 is: 10,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.76 : 15,655.28 = 7,153.84 : x
  2. Step 2: Convert to fraction form
    10,439.76/15,655.28 = 7,153.84/x
  3. Step 3: Cross multiply
    10,439.76x = 15,655.28 × 7,153.84
  4. Step 4: Simplify right side
    10,439.76x = 111,995,368.28
  5. Step 5: Solve for x
    x = 111,995,368.28/10,439.76
  6. Step 6: Final answer
    x = 10,727.77

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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.