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Finding the Fourth Proportional to 7,856.16, 11,781.12 and 3,470.52

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Solution

The fourth proportional to 7,856.16, 11,781.12 and 3,470.52 is: 5,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.16 : 11,781.12 = 3,470.52 : x
  2. Step 2: Convert to fraction form
    7,856.16/11,781.12 = 3,470.52/x
  3. Step 3: Cross multiply
    7,856.16x = 11,781.12 × 3,470.52
  4. Step 4: Simplify right side
    7,856.16x = 40,886,612.58
  5. Step 5: Solve for x
    x = 40,886,612.58/7,856.16
  6. Step 6: Final answer
    x = 5,204.40

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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.