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Finding the Fourth Proportional to 15,375, 23,064.12 and 7,053.60

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Solution

The fourth proportional to 15,375, 23,064.12 and 7,053.60 is: 10,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375 : 23,064.12 = 7,053.60 : x
  2. Step 2: Convert to fraction form
    15,375/23,064.12 = 7,053.60/x
  3. Step 3: Cross multiply
    15,375x = 23,064.12 × 7,053.60
  4. Step 4: Simplify right side
    15,375x = 162,685,076.83
  5. Step 5: Solve for x
    x = 162,685,076.83/15,375
  6. Step 6: Final answer
    x = 10,581.14

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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.