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Finding the Fourth Proportional to 10,008.15, 15,024.98 and 8,162.86

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Solution

The fourth proportional to 10,008.15, 15,024.98 and 8,162.86 is: 12,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.15 : 15,024.98 = 8,162.86 : x
  2. Step 2: Convert to fraction form
    10,008.15/15,024.98 = 8,162.86/x
  3. Step 3: Cross multiply
    10,008.15x = 15,024.98 × 8,162.86
  4. Step 4: Simplify right side
    10,008.15x = 122,646,808.24
  5. Step 5: Solve for x
    x = 122,646,808.24/10,008.15
  6. Step 6: Final answer
    x = 12,254.69

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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.