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Finding the Fourth Proportional to 10,307.25, 15,444.68 and 7,180.65

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Solution

The fourth proportional to 10,307.25, 15,444.68 and 7,180.65 is: 10,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.25 : 15,444.68 = 7,180.65 : x
  2. Step 2: Convert to fraction form
    10,307.25/15,444.68 = 7,180.65/x
  3. Step 3: Cross multiply
    10,307.25x = 15,444.68 × 7,180.65
  4. Step 4: Simplify right side
    10,307.25x = 110,902,805.54
  5. Step 5: Solve for x
    x = 110,902,805.54/10,307.25
  6. Step 6: Final answer
    x = 10,759.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.