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Finding the Fourth Proportional to 10,088.54, 15,112.76 and 7,886.96

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Solution

The fourth proportional to 10,088.54, 15,112.76 and 7,886.96 is: 11,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.54 : 15,112.76 = 7,886.96 : x
  2. Step 2: Convert to fraction form
    10,088.54/15,112.76 = 7,886.96/x
  3. Step 3: Cross multiply
    10,088.54x = 15,112.76 × 7,886.96
  4. Step 4: Simplify right side
    10,088.54x = 119,193,733.61
  5. Step 5: Solve for x
    x = 119,193,733.61/10,088.54
  6. Step 6: Final answer
    x = 11,814.77

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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.