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Finding the Fourth Proportional to 10,261.72, 14,148.40 and 8,561

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Solution

The fourth proportional to 10,261.72, 14,148.40 and 8,561 is: 11,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.72 : 14,148.40 = 8,561 : x
  2. Step 2: Convert to fraction form
    10,261.72/14,148.40 = 8,561/x
  3. Step 3: Cross multiply
    10,261.72x = 14,148.40 × 8,561
  4. Step 4: Simplify right side
    10,261.72x = 121,124,452.40
  5. Step 5: Solve for x
    x = 121,124,452.40/10,261.72
  6. Step 6: Final answer
    x = 11,803.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.