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Finding the Fourth Proportional to 7,856.61, 10,842.03 and 4,319.61

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Solution

The fourth proportional to 7,856.61, 10,842.03 and 4,319.61 is: 5,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.61 : 10,842.03 = 4,319.61 : x
  2. Step 2: Convert to fraction form
    7,856.61/10,842.03 = 4,319.61/x
  3. Step 3: Cross multiply
    7,856.61x = 10,842.03 × 4,319.61
  4. Step 4: Simplify right side
    7,856.61x = 46,833,341.21
  5. Step 5: Solve for x
    x = 46,833,341.21/7,856.61
  6. Step 6: Final answer
    x = 5,961.01

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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.