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Finding the Fourth Proportional to 11,560.49, 15,953.36 and 6,255.20

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Solution

The fourth proportional to 11,560.49, 15,953.36 and 6,255.20 is: 8,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.49 : 15,953.36 = 6,255.20 : x
  2. Step 2: Convert to fraction form
    11,560.49/15,953.36 = 6,255.20/x
  3. Step 3: Cross multiply
    11,560.49x = 15,953.36 × 6,255.20
  4. Step 4: Simplify right side
    11,560.49x = 99,791,457.47
  5. Step 5: Solve for x
    x = 99,791,457.47/11,560.49
  6. Step 6: Final answer
    x = 8,632.11

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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.