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Finding the Fourth Proportional to 8,152.25, 12,228.40 and 2,886.10

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Solution

The fourth proportional to 8,152.25, 12,228.40 and 2,886.10 is: 4,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.25 : 12,228.40 = 2,886.10 : x
  2. Step 2: Convert to fraction form
    8,152.25/12,228.40 = 2,886.10/x
  3. Step 3: Cross multiply
    8,152.25x = 12,228.40 × 2,886.10
  4. Step 4: Simplify right side
    8,152.25x = 35,292,358.28
  5. Step 5: Solve for x
    x = 35,292,358.28/8,152.25
  6. Step 6: Final answer
    x = 4,329.16

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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.