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Finding the Fourth Proportional to 10,418.46, 14,377.68 and 5,703

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Solution

The fourth proportional to 10,418.46, 14,377.68 and 5,703 is: 7,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.46 : 14,377.68 = 5,703 : x
  2. Step 2: Convert to fraction form
    10,418.46/14,377.68 = 5,703/x
  3. Step 3: Cross multiply
    10,418.46x = 14,377.68 × 5,703
  4. Step 4: Simplify right side
    10,418.46x = 81,995,909.04
  5. Step 5: Solve for x
    x = 81,995,909.04/10,418.46
  6. Step 6: Final answer
    x = 7,870.25

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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.