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Finding the Fourth Proportional to 10,303.81, 15,454.06 and 2,908.78

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Solution

The fourth proportional to 10,303.81, 15,454.06 and 2,908.78 is: 4,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.81 : 15,454.06 = 2,908.78 : x
  2. Step 2: Convert to fraction form
    10,303.81/15,454.06 = 2,908.78/x
  3. Step 3: Cross multiply
    10,303.81x = 15,454.06 × 2,908.78
  4. Step 4: Simplify right side
    10,303.81x = 44,952,414.74
  5. Step 5: Solve for x
    x = 44,952,414.74/10,303.81
  6. Step 6: Final answer
    x = 4,362.70

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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.