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Finding the Fourth Proportional to 8,462.32, 11,669.70 and 6,068.24

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Solution

The fourth proportional to 8,462.32, 11,669.70 and 6,068.24 is: 8,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.32 : 11,669.70 = 6,068.24 : x
  2. Step 2: Convert to fraction form
    8,462.32/11,669.70 = 6,068.24/x
  3. Step 3: Cross multiply
    8,462.32x = 11,669.70 × 6,068.24
  4. Step 4: Simplify right side
    8,462.32x = 70,814,530.12
  5. Step 5: Solve for x
    x = 70,814,530.12/8,462.32
  6. Step 6: Final answer
    x = 8,368.21

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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.