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Finding the Fourth Proportional to 10,527, 15,787.38 and 4,974.84

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Solution

The fourth proportional to 10,527, 15,787.38 and 4,974.84 is: 7,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 15,787.38 = 4,974.84 : x
  2. Step 2: Convert to fraction form
    10,527/15,787.38 = 4,974.84/x
  3. Step 3: Cross multiply
    10,527x = 15,787.38 × 4,974.84
  4. Step 4: Simplify right side
    10,527x = 78,539,689.52
  5. Step 5: Solve for x
    x = 78,539,689.52/10,527
  6. Step 6: Final answer
    x = 7,460.79

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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.