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Finding the Fourth Proportional to 10,574.20, 15,842.10 and 8,615.80

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Solution

The fourth proportional to 10,574.20, 15,842.10 and 8,615.80 is: 12,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.20 : 15,842.10 = 8,615.80 : x
  2. Step 2: Convert to fraction form
    10,574.20/15,842.10 = 8,615.80/x
  3. Step 3: Cross multiply
    10,574.20x = 15,842.10 × 8,615.80
  4. Step 4: Simplify right side
    10,574.20x = 136,492,365.18
  5. Step 5: Solve for x
    x = 136,492,365.18/10,574.20
  6. Step 6: Final answer
    x = 12,908.06

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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.