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Finding the Fourth Proportional to 7,856.45, 10,842.08 and 4,271.61

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Solution

The fourth proportional to 7,856.45, 10,842.08 and 4,271.61 is: 5,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.45 : 10,842.08 = 4,271.61 : x
  2. Step 2: Convert to fraction form
    7,856.45/10,842.08 = 4,271.61/x
  3. Step 3: Cross multiply
    7,856.45x = 10,842.08 × 4,271.61
  4. Step 4: Simplify right side
    7,856.45x = 46,313,119.69
  5. Step 5: Solve for x
    x = 46,313,119.69/7,856.45
  6. Step 6: Final answer
    x = 5,894.92

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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.