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Finding the Fourth Proportional to 10,295.84, 15,446.49 and 5,364.02

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Solution

The fourth proportional to 10,295.84, 15,446.49 and 5,364.02 is: 8,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.84 : 15,446.49 = 5,364.02 : x
  2. Step 2: Convert to fraction form
    10,295.84/15,446.49 = 5,364.02/x
  3. Step 3: Cross multiply
    10,295.84x = 15,446.49 × 5,364.02
  4. Step 4: Simplify right side
    10,295.84x = 82,855,281.29
  5. Step 5: Solve for x
    x = 82,855,281.29/10,295.84
  6. Step 6: Final answer
    x = 8,047.45

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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.