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Finding the Fourth Proportional to 10,570.42, 15,844.17 and 6,875.29

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Solution

The fourth proportional to 10,570.42, 15,844.17 and 6,875.29 is: 10,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.42 : 15,844.17 = 6,875.29 : x
  2. Step 2: Convert to fraction form
    10,570.42/15,844.17 = 6,875.29/x
  3. Step 3: Cross multiply
    10,570.42x = 15,844.17 × 6,875.29
  4. Step 4: Simplify right side
    10,570.42x = 108,933,263.56
  5. Step 5: Solve for x
    x = 108,933,263.56/10,570.42
  6. Step 6: Final answer
    x = 10,305.48

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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.