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Finding the Fourth Proportional to 8,433.16, 12,641.64 and 7,711.36

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Solution

The fourth proportional to 8,433.16, 12,641.64 and 7,711.36 is: 11,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.16 : 12,641.64 = 7,711.36 : x
  2. Step 2: Convert to fraction form
    8,433.16/12,641.64 = 7,711.36/x
  3. Step 3: Cross multiply
    8,433.16x = 12,641.64 × 7,711.36
  4. Step 4: Simplify right side
    8,433.16x = 97,484,237.03
  5. Step 5: Solve for x
    x = 97,484,237.03/8,433.16
  6. Step 6: Final answer
    x = 11,559.63

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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.