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Finding the Fourth Proportional to 10,418.66, 14,378.10 and 5,702.96

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Solution

The fourth proportional to 10,418.66, 14,378.10 and 5,702.96 is: 7,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.66 : 14,378.10 = 5,702.96 : x
  2. Step 2: Convert to fraction form
    10,418.66/14,378.10 = 5,702.96/x
  3. Step 3: Cross multiply
    10,418.66x = 14,378.10 × 5,702.96
  4. Step 4: Simplify right side
    10,418.66x = 81,997,729.18
  5. Step 5: Solve for x
    x = 81,997,729.18/10,418.66
  6. Step 6: Final answer
    x = 7,870.28

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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.