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Finding the Fourth Proportional to 10,127.56, 15,197.12 and 8,088.52

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Solution

The fourth proportional to 10,127.56, 15,197.12 and 8,088.52 is: 12,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.56 : 15,197.12 = 8,088.52 : x
  2. Step 2: Convert to fraction form
    10,127.56/15,197.12 = 8,088.52/x
  3. Step 3: Cross multiply
    10,127.56x = 15,197.12 × 8,088.52
  4. Step 4: Simplify right side
    10,127.56x = 122,922,209.06
  5. Step 5: Solve for x
    x = 122,922,209.06/10,127.56
  6. Step 6: Final answer
    x = 12,137.40

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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.