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Finding the Fourth Proportional to 10,060.68, 13,883.64 and 5,584.68

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Solution

The fourth proportional to 10,060.68, 13,883.64 and 5,584.68 is: 7,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.68 : 13,883.64 = 5,584.68 : x
  2. Step 2: Convert to fraction form
    10,060.68/13,883.64 = 5,584.68/x
  3. Step 3: Cross multiply
    10,060.68x = 13,883.64 × 5,584.68
  4. Step 4: Simplify right side
    10,060.68x = 77,535,686.64
  5. Step 5: Solve for x
    x = 77,535,686.64/10,060.68
  6. Step 6: Final answer
    x = 7,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.