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Finding the Fourth Proportional to 25,859.34, 38,788.23 and 7,140.52

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Solution

The fourth proportional to 25,859.34, 38,788.23 and 7,140.52 is: 10,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.34 : 38,788.23 = 7,140.52 : x
  2. Step 2: Convert to fraction form
    25,859.34/38,788.23 = 7,140.52/x
  3. Step 3: Cross multiply
    25,859.34x = 38,788.23 × 7,140.52
  4. Step 4: Simplify right side
    25,859.34x = 276,968,132.08
  5. Step 5: Solve for x
    x = 276,968,132.08/25,859.34
  6. Step 6: Final answer
    x = 10,710.56

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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.