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Finding the Fourth Proportional to 10,244.84, 15,377.79 and 5,313.16

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Solution

The fourth proportional to 10,244.84, 15,377.79 and 5,313.16 is: 7,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.84 : 15,377.79 = 5,313.16 : x
  2. Step 2: Convert to fraction form
    10,244.84/15,377.79 = 5,313.16/x
  3. Step 3: Cross multiply
    10,244.84x = 15,377.79 × 5,313.16
  4. Step 4: Simplify right side
    10,244.84x = 81,704,581.83
  5. Step 5: Solve for x
    x = 81,704,581.83/10,244.84
  6. Step 6: Final answer
    x = 7,975.19

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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.