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Finding the Fourth Proportional to 10,957.76, 15,121.68 and 6,242.84

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Solution

The fourth proportional to 10,957.76, 15,121.68 and 6,242.84 is: 8,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.76 : 15,121.68 = 6,242.84 : x
  2. Step 2: Convert to fraction form
    10,957.76/15,121.68 = 6,242.84/x
  3. Step 3: Cross multiply
    10,957.76x = 15,121.68 × 6,242.84
  4. Step 4: Simplify right side
    10,957.76x = 94,402,243.16
  5. Step 5: Solve for x
    x = 94,402,243.16/10,957.76
  6. Step 6: Final answer
    x = 8,615.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.