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Finding the Fourth Proportional to 10,418.74, 14,377.90 and 5,703.46

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Solution

The fourth proportional to 10,418.74, 14,377.90 and 5,703.46 is: 7,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.74 : 14,377.90 = 5,703.46 : x
  2. Step 2: Convert to fraction form
    10,418.74/14,377.90 = 5,703.46/x
  3. Step 3: Cross multiply
    10,418.74x = 14,377.90 × 5,703.46
  4. Step 4: Simplify right side
    10,418.74x = 82,003,777.53
  5. Step 5: Solve for x
    x = 82,003,777.53/10,418.74
  6. Step 6: Final answer
    x = 7,870.80

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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.