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Finding the Fourth Proportional to 10,099.61, 13,924.44 and 8,275.86

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Solution

The fourth proportional to 10,099.61, 13,924.44 and 8,275.86 is: 11,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.61 : 13,924.44 = 8,275.86 : x
  2. Step 2: Convert to fraction form
    10,099.61/13,924.44 = 8,275.86/x
  3. Step 3: Cross multiply
    10,099.61x = 13,924.44 × 8,275.86
  4. Step 4: Simplify right side
    10,099.61x = 115,236,630.88
  5. Step 5: Solve for x
    x = 115,236,630.88/10,099.61
  6. Step 6: Final answer
    x = 11,410.00

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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.