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Finding the Fourth Proportional to 10,219.77, 15,323.07 and 4,300.49

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Solution

The fourth proportional to 10,219.77, 15,323.07 and 4,300.49 is: 6,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.77 : 15,323.07 = 4,300.49 : x
  2. Step 2: Convert to fraction form
    10,219.77/15,323.07 = 4,300.49/x
  3. Step 3: Cross multiply
    10,219.77x = 15,323.07 × 4,300.49
  4. Step 4: Simplify right side
    10,219.77x = 65,896,763.74
  5. Step 5: Solve for x
    x = 65,896,763.74/10,219.77
  6. Step 6: Final answer
    x = 6,447.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.