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Finding the Fourth Proportional to 10,122.77, 13,970.50 and 5,648.07

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Solution

The fourth proportional to 10,122.77, 13,970.50 and 5,648.07 is: 7,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.77 : 13,970.50 = 5,648.07 : x
  2. Step 2: Convert to fraction form
    10,122.77/13,970.50 = 5,648.07/x
  3. Step 3: Cross multiply
    10,122.77x = 13,970.50 × 5,648.07
  4. Step 4: Simplify right side
    10,122.77x = 78,906,347.81
  5. Step 5: Solve for x
    x = 78,906,347.81/10,122.77
  6. Step 6: Final answer
    x = 7,794.94

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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.