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Finding the Fourth Proportional to 7,315.62, 10,952.01 and 4,533.90

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Solution

The fourth proportional to 7,315.62, 10,952.01 and 4,533.90 is: 6,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.62 : 10,952.01 = 4,533.90 : x
  2. Step 2: Convert to fraction form
    7,315.62/10,952.01 = 4,533.90/x
  3. Step 3: Cross multiply
    7,315.62x = 10,952.01 × 4,533.90
  4. Step 4: Simplify right side
    7,315.62x = 49,655,318.14
  5. Step 5: Solve for x
    x = 49,655,318.14/7,315.62
  6. Step 6: Final answer
    x = 6,787.57

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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.