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Finding the Fourth Proportional to 10,071.80, 15,105.81 and 4,228.46

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Solution

The fourth proportional to 10,071.80, 15,105.81 and 4,228.46 is: 6,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.80 : 15,105.81 = 4,228.46 : x
  2. Step 2: Convert to fraction form
    10,071.80/15,105.81 = 4,228.46/x
  3. Step 3: Cross multiply
    10,071.80x = 15,105.81 × 4,228.46
  4. Step 4: Simplify right side
    10,071.80x = 63,874,313.35
  5. Step 5: Solve for x
    x = 63,874,313.35/10,071.80
  6. Step 6: Final answer
    x = 6,341.90

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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.