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Finding the Fourth Proportional to 7,870.68, 10,861.77 and 4,285.88

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Solution

The fourth proportional to 7,870.68, 10,861.77 and 4,285.88 is: 5,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.68 : 10,861.77 = 4,285.88 : x
  2. Step 2: Convert to fraction form
    7,870.68/10,861.77 = 4,285.88/x
  3. Step 3: Cross multiply
    7,870.68x = 10,861.77 × 4,285.88
  4. Step 4: Simplify right side
    7,870.68x = 46,552,188.50
  5. Step 5: Solve for x
    x = 46,552,188.50/7,870.68
  6. Step 6: Final answer
    x = 5,914.63

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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.