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Finding the Fourth Proportional to 8,741.64, 12,064.31 and 5,386.71

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Solution

The fourth proportional to 8,741.64, 12,064.31 and 5,386.71 is: 7,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.64 : 12,064.31 = 5,386.71 : x
  2. Step 2: Convert to fraction form
    8,741.64/12,064.31 = 5,386.71/x
  3. Step 3: Cross multiply
    8,741.64x = 12,064.31 × 5,386.71
  4. Step 4: Simplify right side
    8,741.64x = 64,986,939.32
  5. Step 5: Solve for x
    x = 64,986,939.32/8,741.64
  6. Step 6: Final answer
    x = 7,434.18

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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.