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Finding the Fourth Proportional to 7,184.61, 10,774.80 and 2,503.47

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Solution

The fourth proportional to 7,184.61, 10,774.80 and 2,503.47 is: 3,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.61 : 10,774.80 = 2,503.47 : x
  2. Step 2: Convert to fraction form
    7,184.61/10,774.80 = 2,503.47/x
  3. Step 3: Cross multiply
    7,184.61x = 10,774.80 × 2,503.47
  4. Step 4: Simplify right side
    7,184.61x = 26,974,388.56
  5. Step 5: Solve for x
    x = 26,974,388.56/7,184.61
  6. Step 6: Final answer
    x = 3,754.47

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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.