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Finding the Fourth Proportional to 8,051.32, 12,069.48 and 3,124.16

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Solution

The fourth proportional to 8,051.32, 12,069.48 and 3,124.16 is: 4,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.32 : 12,069.48 = 3,124.16 : x
  2. Step 2: Convert to fraction form
    8,051.32/12,069.48 = 3,124.16/x
  3. Step 3: Cross multiply
    8,051.32x = 12,069.48 × 3,124.16
  4. Step 4: Simplify right side
    8,051.32x = 37,706,986.64
  5. Step 5: Solve for x
    x = 37,706,986.64/8,051.32
  6. Step 6: Final answer
    x = 4,683.33

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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.