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Finding the Fourth Proportional to 7,415, 10,234.42 and 4,897.62

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Solution

The fourth proportional to 7,415, 10,234.42 and 4,897.62 is: 6,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415 : 10,234.42 = 4,897.62 : x
  2. Step 2: Convert to fraction form
    7,415/10,234.42 = 4,897.62/x
  3. Step 3: Cross multiply
    7,415x = 10,234.42 × 4,897.62
  4. Step 4: Simplify right side
    7,415x = 50,124,300.08
  5. Step 5: Solve for x
    x = 50,124,300.08/7,415
  6. Step 6: Final answer
    x = 6,759.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.