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Finding the Fourth Proportional to 10,064.48, 13,902.06 and 7,659.84

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Solution

The fourth proportional to 10,064.48, 13,902.06 and 7,659.84 is: 10,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.48 : 13,902.06 = 7,659.84 : x
  2. Step 2: Convert to fraction form
    10,064.48/13,902.06 = 7,659.84/x
  3. Step 3: Cross multiply
    10,064.48x = 13,902.06 × 7,659.84
  4. Step 4: Simplify right side
    10,064.48x = 106,487,578.68
  5. Step 5: Solve for x
    x = 106,487,578.68/10,064.48
  6. Step 6: Final answer
    x = 10,580.53

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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.