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Finding the Fourth Proportional to 10,029, 15,039.78 and 4,476.84

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Solution

The fourth proportional to 10,029, 15,039.78 and 4,476.84 is: 6,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029 : 15,039.78 = 4,476.84 : x
  2. Step 2: Convert to fraction form
    10,029/15,039.78 = 4,476.84/x
  3. Step 3: Cross multiply
    10,029x = 15,039.78 × 4,476.84
  4. Step 4: Simplify right side
    10,029x = 67,330,688.70
  5. Step 5: Solve for x
    x = 67,330,688.70/10,029
  6. Step 6: Final answer
    x = 6,713.60

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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.