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Finding the Fourth Proportional to 11,588.96, 17,387.04 and 7,885.76

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Solution

The fourth proportional to 11,588.96, 17,387.04 and 7,885.76 is: 11,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.96 : 17,387.04 = 7,885.76 : x
  2. Step 2: Convert to fraction form
    11,588.96/17,387.04 = 7,885.76/x
  3. Step 3: Cross multiply
    11,588.96x = 17,387.04 × 7,885.76
  4. Step 4: Simplify right side
    11,588.96x = 137,110,024.55
  5. Step 5: Solve for x
    x = 137,110,024.55/11,588.96
  6. Step 6: Final answer
    x = 11,831.09

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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.