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Finding the Fourth Proportional to 10,478.37, 15,726.98 and 9,366.04

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Solution

The fourth proportional to 10,478.37, 15,726.98 and 9,366.04 is: 14,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.37 : 15,726.98 = 9,366.04 : x
  2. Step 2: Convert to fraction form
    10,478.37/15,726.98 = 9,366.04/x
  3. Step 3: Cross multiply
    10,478.37x = 15,726.98 × 9,366.04
  4. Step 4: Simplify right side
    10,478.37x = 147,299,523.76
  5. Step 5: Solve for x
    x = 147,299,523.76/10,478.37
  6. Step 6: Final answer
    x = 14,057.48

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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.