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Finding the Fourth Proportional to 10,418.60, 14,377.97 and 5,703.18

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Solution

The fourth proportional to 10,418.60, 14,377.97 and 5,703.18 is: 7,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.60 : 14,377.97 = 5,703.18 : x
  2. Step 2: Convert to fraction form
    10,418.60/14,377.97 = 5,703.18/x
  3. Step 3: Cross multiply
    10,418.60x = 14,377.97 × 5,703.18
  4. Step 4: Simplify right side
    10,418.60x = 82,000,150.94
  5. Step 5: Solve for x
    x = 82,000,150.94/10,418.60
  6. Step 6: Final answer
    x = 7,870.55

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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.