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Finding the Fourth Proportional to 10,008.70, 13,818.44 and 6,425.20

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Solution

The fourth proportional to 10,008.70, 13,818.44 and 6,425.20 is: 8,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.70 : 13,818.44 = 6,425.20 : x
  2. Step 2: Convert to fraction form
    10,008.70/13,818.44 = 6,425.20/x
  3. Step 3: Cross multiply
    10,008.70x = 13,818.44 × 6,425.20
  4. Step 4: Simplify right side
    10,008.70x = 88,786,274.02
  5. Step 5: Solve for x
    x = 88,786,274.02/10,008.70
  6. Step 6: Final answer
    x = 8,870.91

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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.