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Finding the Fourth Proportional to 7,705.48, 10,631.10 and 4,561.06

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Solution

The fourth proportional to 7,705.48, 10,631.10 and 4,561.06 is: 6,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.48 : 10,631.10 = 4,561.06 : x
  2. Step 2: Convert to fraction form
    7,705.48/10,631.10 = 4,561.06/x
  3. Step 3: Cross multiply
    7,705.48x = 10,631.10 × 4,561.06
  4. Step 4: Simplify right side
    7,705.48x = 48,489,084.97
  5. Step 5: Solve for x
    x = 48,489,084.97/7,705.48
  6. Step 6: Final answer
    x = 6,292.81

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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.