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Finding the Fourth Proportional to 10,481.47, 15,718.86 and 3,460.17

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Solution

The fourth proportional to 10,481.47, 15,718.86 and 3,460.17 is: 5,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.47 : 15,718.86 = 3,460.17 : x
  2. Step 2: Convert to fraction form
    10,481.47/15,718.86 = 3,460.17/x
  3. Step 3: Cross multiply
    10,481.47x = 15,718.86 × 3,460.17
  4. Step 4: Simplify right side
    10,481.47x = 54,389,927.81
  5. Step 5: Solve for x
    x = 54,389,927.81/10,481.47
  6. Step 6: Final answer
    x = 5,189.15

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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.