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Finding the Fourth Proportional to 10,122.47, 13,970.06 and 5,872.26

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Solution

The fourth proportional to 10,122.47, 13,970.06 and 5,872.26 is: 8,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.47 : 13,970.06 = 5,872.26 : x
  2. Step 2: Convert to fraction form
    10,122.47/13,970.06 = 5,872.26/x
  3. Step 3: Cross multiply
    10,122.47x = 13,970.06 × 5,872.26
  4. Step 4: Simplify right side
    10,122.47x = 82,035,795.17
  5. Step 5: Solve for x
    x = 82,035,795.17/10,122.47
  6. Step 6: Final answer
    x = 8,104.33

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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.