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Finding the Fourth Proportional to 10,030.97, 13,841.08 and 6,446.72

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Solution

The fourth proportional to 10,030.97, 13,841.08 and 6,446.72 is: 8,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.97 : 13,841.08 = 6,446.72 : x
  2. Step 2: Convert to fraction form
    10,030.97/13,841.08 = 6,446.72/x
  3. Step 3: Cross multiply
    10,030.97x = 13,841.08 × 6,446.72
  4. Step 4: Simplify right side
    10,030.97x = 89,229,585.74
  5. Step 5: Solve for x
    x = 89,229,585.74/10,030.97
  6. Step 6: Final answer
    x = 8,895.41

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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.