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Finding the Fourth Proportional to 10,364.20, 14,304.20 and 6,174.88

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Solution

The fourth proportional to 10,364.20, 14,304.20 and 6,174.88 is: 8,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.20 : 14,304.20 = 6,174.88 : x
  2. Step 2: Convert to fraction form
    10,364.20/14,304.20 = 6,174.88/x
  3. Step 3: Cross multiply
    10,364.20x = 14,304.20 × 6,174.88
  4. Step 4: Simplify right side
    10,364.20x = 88,326,718.50
  5. Step 5: Solve for x
    x = 88,326,718.50/10,364.20
  6. Step 6: Final answer
    x = 8,522.29

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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.