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Finding the Fourth Proportional to 7,370, 10,170.54 and 4,385.78

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Solution

The fourth proportional to 7,370, 10,170.54 and 4,385.78 is: 6,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,370 : 10,170.54 = 4,385.78 : x
  2. Step 2: Convert to fraction form
    7,370/10,170.54 = 4,385.78/x
  3. Step 3: Cross multiply
    7,370x = 10,170.54 × 4,385.78
  4. Step 4: Simplify right side
    7,370x = 44,605,750.92
  5. Step 5: Solve for x
    x = 44,605,750.92/7,370
  6. Step 6: Final answer
    x = 6,052.34

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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.