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Finding the Fourth Proportional to 7,705.60, 10,632.54 and 4,348.15

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Solution

The fourth proportional to 7,705.60, 10,632.54 and 4,348.15 is: 5,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.60 : 10,632.54 = 4,348.15 : x
  2. Step 2: Convert to fraction form
    7,705.60/10,632.54 = 4,348.15/x
  3. Step 3: Cross multiply
    7,705.60x = 10,632.54 × 4,348.15
  4. Step 4: Simplify right side
    7,705.60x = 46,231,878.80
  5. Step 5: Solve for x
    x = 46,231,878.80/7,705.60
  6. Step 6: Final answer
    x = 5,999.78

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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.