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Finding the Fourth Proportional to 10,181.60, 15,259.44 and 7,861.76

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Solution

The fourth proportional to 10,181.60, 15,259.44 and 7,861.76 is: 11,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.60 : 15,259.44 = 7,861.76 : x
  2. Step 2: Convert to fraction form
    10,181.60/15,259.44 = 7,861.76/x
  3. Step 3: Cross multiply
    10,181.60x = 15,259.44 × 7,861.76
  4. Step 4: Simplify right side
    10,181.60x = 119,966,055.01
  5. Step 5: Solve for x
    x = 119,966,055.01/10,181.60
  6. Step 6: Final answer
    x = 11,782.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.