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Finding the Fourth Proportional to 25,375.60, 38,065.80 and 6,907.60

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Solution

The fourth proportional to 25,375.60, 38,065.80 and 6,907.60 is: 10,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.60 : 38,065.80 = 6,907.60 : x
  2. Step 2: Convert to fraction form
    25,375.60/38,065.80 = 6,907.60/x
  3. Step 3: Cross multiply
    25,375.60x = 38,065.80 × 6,907.60
  4. Step 4: Simplify right side
    25,375.60x = 262,943,320.08
  5. Step 5: Solve for x
    x = 262,943,320.08/25,375.60
  6. Step 6: Final answer
    x = 10,362.05

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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.