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Finding the Fourth Proportional to 8,468.13, 11,686.64 and 5,111.76

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Solution

The fourth proportional to 8,468.13, 11,686.64 and 5,111.76 is: 7,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.13 : 11,686.64 = 5,111.76 : x
  2. Step 2: Convert to fraction form
    8,468.13/11,686.64 = 5,111.76/x
  3. Step 3: Cross multiply
    8,468.13x = 11,686.64 × 5,111.76
  4. Step 4: Simplify right side
    8,468.13x = 59,739,273.33
  5. Step 5: Solve for x
    x = 59,739,273.33/8,468.13
  6. Step 6: Final answer
    x = 7,054.60

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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.