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Finding the Fourth Proportional to 10,971.65, 15,132.69 and 6,989.15

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Solution

The fourth proportional to 10,971.65, 15,132.69 and 6,989.15 is: 9,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.65 : 15,132.69 = 6,989.15 : x
  2. Step 2: Convert to fraction form
    10,971.65/15,132.69 = 6,989.15/x
  3. Step 3: Cross multiply
    10,971.65x = 15,132.69 × 6,989.15
  4. Step 4: Simplify right side
    10,971.65x = 105,764,678.15
  5. Step 5: Solve for x
    x = 105,764,678.15/10,971.65
  6. Step 6: Final answer
    x = 9,639.81

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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.