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Finding the Fourth Proportional to 10,088.68, 15,121.76 and 7,615.48

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Solution

The fourth proportional to 10,088.68, 15,121.76 and 7,615.48 is: 11,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.68 : 15,121.76 = 7,615.48 : x
  2. Step 2: Convert to fraction form
    10,088.68/15,121.76 = 7,615.48/x
  3. Step 3: Cross multiply
    10,088.68x = 15,121.76 × 7,615.48
  4. Step 4: Simplify right side
    10,088.68x = 115,159,460.84
  5. Step 5: Solve for x
    x = 115,159,460.84/10,088.68
  6. Step 6: Final answer
    x = 11,414.72

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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.