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Finding the Fourth Proportional to 10,060.62, 13,883.10 and 5,584.14

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Solution

The fourth proportional to 10,060.62, 13,883.10 and 5,584.14 is: 7,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.62 : 13,883.10 = 5,584.14 : x
  2. Step 2: Convert to fraction form
    10,060.62/13,883.10 = 5,584.14/x
  3. Step 3: Cross multiply
    10,060.62x = 13,883.10 × 5,584.14
  4. Step 4: Simplify right side
    10,060.62x = 77,525,174.03
  5. Step 5: Solve for x
    x = 77,525,174.03/10,060.62
  6. Step 6: Final answer
    x = 7,705.80

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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.