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Finding the Fourth Proportional to 7,856.75, 10,842.84 and 4,500.02

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Solution

The fourth proportional to 7,856.75, 10,842.84 and 4,500.02 is: 6,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.75 : 10,842.84 = 4,500.02 : x
  2. Step 2: Convert to fraction form
    7,856.75/10,842.84 = 4,500.02/x
  3. Step 3: Cross multiply
    7,856.75x = 10,842.84 × 4,500.02
  4. Step 4: Simplify right side
    7,856.75x = 48,793,023.96
  5. Step 5: Solve for x
    x = 48,793,023.96/7,856.75
  6. Step 6: Final answer
    x = 6,210.33

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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.