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Finding the Fourth Proportional to 10,476.24, 15,719.70 and 6,968.70

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Solution

The fourth proportional to 10,476.24, 15,719.70 and 6,968.70 is: 10,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.24 : 15,719.70 = 6,968.70 : x
  2. Step 2: Convert to fraction form
    10,476.24/15,719.70 = 6,968.70/x
  3. Step 3: Cross multiply
    10,476.24x = 15,719.70 × 6,968.70
  4. Step 4: Simplify right side
    10,476.24x = 109,545,873.39
  5. Step 5: Solve for x
    x = 109,545,873.39/10,476.24
  6. Step 6: Final answer
    x = 10,456.60

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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.