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Finding the Fourth Proportional to 10,206.88, 15,297.52 and 4,356.64

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Solution

The fourth proportional to 10,206.88, 15,297.52 and 4,356.64 is: 6,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.88 : 15,297.52 = 4,356.64 : x
  2. Step 2: Convert to fraction form
    10,206.88/15,297.52 = 4,356.64/x
  3. Step 3: Cross multiply
    10,206.88x = 15,297.52 × 4,356.64
  4. Step 4: Simplify right side
    10,206.88x = 66,645,787.53
  5. Step 5: Solve for x
    x = 66,645,787.53/10,206.88
  6. Step 6: Final answer
    x = 6,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.