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Finding the Fourth Proportional to 10,400.94, 15,592.50 and 7,104.24

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Solution

The fourth proportional to 10,400.94, 15,592.50 and 7,104.24 is: 10,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.94 : 15,592.50 = 7,104.24 : x
  2. Step 2: Convert to fraction form
    10,400.94/15,592.50 = 7,104.24/x
  3. Step 3: Cross multiply
    10,400.94x = 15,592.50 × 7,104.24
  4. Step 4: Simplify right side
    10,400.94x = 110,772,862.20
  5. Step 5: Solve for x
    x = 110,772,862.20/10,400.94
  6. Step 6: Final answer
    x = 10,650.27

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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.