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Finding the Fourth Proportional to 8,284.60, 11,432.10 and 5,140.18

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Solution

The fourth proportional to 8,284.60, 11,432.10 and 5,140.18 is: 7,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.60 : 11,432.10 = 5,140.18 : x
  2. Step 2: Convert to fraction form
    8,284.60/11,432.10 = 5,140.18/x
  3. Step 3: Cross multiply
    8,284.60x = 11,432.10 × 5,140.18
  4. Step 4: Simplify right side
    8,284.60x = 58,763,051.78
  5. Step 5: Solve for x
    x = 58,763,051.78/8,284.60
  6. Step 6: Final answer
    x = 7,093.05

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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.