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Finding the Fourth Proportional to 10,271.14, 15,400.95 and 6,988.66

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Solution

The fourth proportional to 10,271.14, 15,400.95 and 6,988.66 is: 10,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.14 : 15,400.95 = 6,988.66 : x
  2. Step 2: Convert to fraction form
    10,271.14/15,400.95 = 6,988.66/x
  3. Step 3: Cross multiply
    10,271.14x = 15,400.95 × 6,988.66
  4. Step 4: Simplify right side
    10,271.14x = 107,632,003.23
  5. Step 5: Solve for x
    x = 107,632,003.23/10,271.14
  6. Step 6: Final answer
    x = 10,479.07

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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.