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Finding the Fourth Proportional to 10,595.84, 15,874.38 and 4,963.17

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Solution

The fourth proportional to 10,595.84, 15,874.38 and 4,963.17 is: 7,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.84 : 15,874.38 = 4,963.17 : x
  2. Step 2: Convert to fraction form
    10,595.84/15,874.38 = 4,963.17/x
  3. Step 3: Cross multiply
    10,595.84x = 15,874.38 × 4,963.17
  4. Step 4: Simplify right side
    10,595.84x = 78,787,246.58
  5. Step 5: Solve for x
    x = 78,787,246.58/10,595.84
  6. Step 6: Final answer
    x = 7,435.68

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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.