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Finding the Fourth Proportional to 10,525.56, 15,789.18 and 6,143.46

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Solution

The fourth proportional to 10,525.56, 15,789.18 and 6,143.46 is: 9,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.56 : 15,789.18 = 6,143.46 : x
  2. Step 2: Convert to fraction form
    10,525.56/15,789.18 = 6,143.46/x
  3. Step 3: Cross multiply
    10,525.56x = 15,789.18 × 6,143.46
  4. Step 4: Simplify right side
    10,525.56x = 97,000,195.76
  5. Step 5: Solve for x
    x = 97,000,195.76/10,525.56
  6. Step 6: Final answer
    x = 9,215.68

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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.