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Finding the Fourth Proportional to 10,615.56, 15,925.74 and 5,682.60

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Solution

The fourth proportional to 10,615.56, 15,925.74 and 5,682.60 is: 8,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.56 : 15,925.74 = 5,682.60 : x
  2. Step 2: Convert to fraction form
    10,615.56/15,925.74 = 5,682.60/x
  3. Step 3: Cross multiply
    10,615.56x = 15,925.74 × 5,682.60
  4. Step 4: Simplify right side
    10,615.56x = 90,499,610.12
  5. Step 5: Solve for x
    x = 90,499,610.12/10,615.56
  6. Step 6: Final answer
    x = 8,525.18

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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.