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Finding the Fourth Proportional to 10,122.77, 13,968.77 and 5,585.20

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Solution

The fourth proportional to 10,122.77, 13,968.77 and 5,585.20 is: 7,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.77 : 13,968.77 = 5,585.20 : x
  2. Step 2: Convert to fraction form
    10,122.77/13,968.77 = 5,585.20/x
  3. Step 3: Cross multiply
    10,122.77x = 13,968.77 × 5,585.20
  4. Step 4: Simplify right side
    10,122.77x = 78,018,311.36
  5. Step 5: Solve for x
    x = 78,018,311.36/10,122.77
  6. Step 6: Final answer
    x = 7,707.21

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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.