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Finding the Fourth Proportional to 10,060.44, 13,884 and 5,584.68

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Solution

The fourth proportional to 10,060.44, 13,884 and 5,584.68 is: 7,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.44 : 13,884 = 5,584.68 : x
  2. Step 2: Convert to fraction form
    10,060.44/13,884 = 5,584.68/x
  3. Step 3: Cross multiply
    10,060.44x = 13,884 × 5,584.68
  4. Step 4: Simplify right side
    10,060.44x = 77,537,697.12
  5. Step 5: Solve for x
    x = 77,537,697.12/10,060.44
  6. Step 6: Final answer
    x = 7,707.19

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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.