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Finding the Fourth Proportional to 10,428.85, 14,392.18 and 5,713.13

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Solution

The fourth proportional to 10,428.85, 14,392.18 and 5,713.13 is: 7,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.85 : 14,392.18 = 5,713.13 : x
  2. Step 2: Convert to fraction form
    10,428.85/14,392.18 = 5,713.13/x
  3. Step 3: Cross multiply
    10,428.85x = 14,392.18 × 5,713.13
  4. Step 4: Simplify right side
    10,428.85x = 82,224,438.45
  5. Step 5: Solve for x
    x = 82,224,438.45/10,428.85
  6. Step 6: Final answer
    x = 7,884.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.