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Finding the Fourth Proportional to 10,476.39, 15,719.93 and 6,968.87

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Solution

The fourth proportional to 10,476.39, 15,719.93 and 6,968.87 is: 10,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.39 : 15,719.93 = 6,968.87 : x
  2. Step 2: Convert to fraction form
    10,476.39/15,719.93 = 6,968.87/x
  3. Step 3: Cross multiply
    10,476.39x = 15,719.93 × 6,968.87
  4. Step 4: Simplify right side
    10,476.39x = 109,550,035.14
  5. Step 5: Solve for x
    x = 109,550,035.14/10,476.39
  6. Step 6: Final answer
    x = 10,456.85

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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.