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Finding the Fourth Proportional to 12,718.56, 17,552.40 and 8,462.28

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Solution

The fourth proportional to 12,718.56, 17,552.40 and 8,462.28 is: 11,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.56 : 17,552.40 = 8,462.28 : x
  2. Step 2: Convert to fraction form
    12,718.56/17,552.40 = 8,462.28/x
  3. Step 3: Cross multiply
    12,718.56x = 17,552.40 × 8,462.28
  4. Step 4: Simplify right side
    12,718.56x = 148,533,323.47
  5. Step 5: Solve for x
    x = 148,533,323.47/12,718.56
  6. Step 6: Final answer
    x = 11,678.47

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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.