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Finding the Fourth Proportional to 10,358.26, 15,570.19 and 8,914.84

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Solution

The fourth proportional to 10,358.26, 15,570.19 and 8,914.84 is: 13,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.26 : 15,570.19 = 8,914.84 : x
  2. Step 2: Convert to fraction form
    10,358.26/15,570.19 = 8,914.84/x
  3. Step 3: Cross multiply
    10,358.26x = 15,570.19 × 8,914.84
  4. Step 4: Simplify right side
    10,358.26x = 138,805,724.84
  5. Step 5: Solve for x
    x = 138,805,724.84/10,358.26
  6. Step 6: Final answer
    x = 13,400.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.