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Finding the Fourth Proportional to 8,681.68, 11,973.31 and 6,035.41

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Solution

The fourth proportional to 8,681.68, 11,973.31 and 6,035.41 is: 8,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.68 : 11,973.31 = 6,035.41 : x
  2. Step 2: Convert to fraction form
    8,681.68/11,973.31 = 6,035.41/x
  3. Step 3: Cross multiply
    8,681.68x = 11,973.31 × 6,035.41
  4. Step 4: Simplify right side
    8,681.68x = 72,263,834.91
  5. Step 5: Solve for x
    x = 72,263,834.91/8,681.68
  6. Step 6: Final answer
    x = 8,323.72

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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.