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Finding the Fourth Proportional to 10,418.40, 14,377.73 and 5,702.67

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Solution

The fourth proportional to 10,418.40, 14,377.73 and 5,702.67 is: 7,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.40 : 14,377.73 = 5,702.67 : x
  2. Step 2: Convert to fraction form
    10,418.40/14,377.73 = 5,702.67/x
  3. Step 3: Cross multiply
    10,418.40x = 14,377.73 × 5,702.67
  4. Step 4: Simplify right side
    10,418.40x = 81,991,421.03
  5. Step 5: Solve for x
    x = 81,991,421.03/10,418.40
  6. Step 6: Final answer
    x = 7,869.87

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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.