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Finding the Fourth Proportional to 8,166.34, 12,232.98 and 5,386.12

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Solution

The fourth proportional to 8,166.34, 12,232.98 and 5,386.12 is: 8,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.34 : 12,232.98 = 5,386.12 : x
  2. Step 2: Convert to fraction form
    8,166.34/12,232.98 = 5,386.12/x
  3. Step 3: Cross multiply
    8,166.34x = 12,232.98 × 5,386.12
  4. Step 4: Simplify right side
    8,166.34x = 65,888,298.24
  5. Step 5: Solve for x
    x = 65,888,298.24/8,166.34
  6. Step 6: Final answer
    x = 8,068.28

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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.