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Finding the Fourth Proportional to 10,418.03, 14,376.86 and 5,702.27

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Solution

The fourth proportional to 10,418.03, 14,376.86 and 5,702.27 is: 7,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.03 : 14,376.86 = 5,702.27 : x
  2. Step 2: Convert to fraction form
    10,418.03/14,376.86 = 5,702.27/x
  3. Step 3: Cross multiply
    10,418.03x = 14,376.86 × 5,702.27
  4. Step 4: Simplify right side
    10,418.03x = 81,980,708.96
  5. Step 5: Solve for x
    x = 81,980,708.96/10,418.03
  6. Step 6: Final answer
    x = 7,869.12

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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.