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Finding the Fourth Proportional to 8,681.80, 13,012.71 and 4,302.13

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Solution

The fourth proportional to 8,681.80, 13,012.71 and 4,302.13 is: 6,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.80 : 13,012.71 = 4,302.13 : x
  2. Step 2: Convert to fraction form
    8,681.80/13,012.71 = 4,302.13/x
  3. Step 3: Cross multiply
    8,681.80x = 13,012.71 × 4,302.13
  4. Step 4: Simplify right side
    8,681.80x = 55,982,370.07
  5. Step 5: Solve for x
    x = 55,982,370.07/8,681.80
  6. Step 6: Final answer
    x = 6,448.24

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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.