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Finding the Fourth Proportional to 7,856.89, 10,842.53 and 4,499.71

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Solution

The fourth proportional to 7,856.89, 10,842.53 and 4,499.71 is: 6,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.89 : 10,842.53 = 4,499.71 : x
  2. Step 2: Convert to fraction form
    7,856.89/10,842.53 = 4,499.71/x
  3. Step 3: Cross multiply
    7,856.89x = 10,842.53 × 4,499.71
  4. Step 4: Simplify right side
    7,856.89x = 48,788,240.67
  5. Step 5: Solve for x
    x = 48,788,240.67/7,856.89
  6. Step 6: Final answer
    x = 6,209.61

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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.