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Finding the Fourth Proportional to 10,071.20, 15,106.80 and 8,443.10

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Solution

The fourth proportional to 10,071.20, 15,106.80 and 8,443.10 is: 12,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.20 : 15,106.80 = 8,443.10 : x
  2. Step 2: Convert to fraction form
    10,071.20/15,106.80 = 8,443.10/x
  3. Step 3: Cross multiply
    10,071.20x = 15,106.80 × 8,443.10
  4. Step 4: Simplify right side
    10,071.20x = 127,548,223.08
  5. Step 5: Solve for x
    x = 127,548,223.08/10,071.20
  6. Step 6: Final answer
    x = 12,664.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.