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Finding the Fourth Proportional to 10,428.95, 14,392.29 and 5,713.53

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Solution

The fourth proportional to 10,428.95, 14,392.29 and 5,713.53 is: 7,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.95 : 14,392.29 = 5,713.53 : x
  2. Step 2: Convert to fraction form
    10,428.95/14,392.29 = 5,713.53/x
  3. Step 3: Cross multiply
    10,428.95x = 14,392.29 × 5,713.53
  4. Step 4: Simplify right side
    10,428.95x = 82,230,780.68
  5. Step 5: Solve for x
    x = 82,230,780.68/10,428.95
  6. Step 6: Final answer
    x = 7,884.86

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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.