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Finding the Fourth Proportional to 10,952.16, 16,438 and 7,832

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Solution

The fourth proportional to 10,952.16, 16,438 and 7,832 is: 11,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.16 : 16,438 = 7,832 : x
  2. Step 2: Convert to fraction form
    10,952.16/16,438 = 7,832/x
  3. Step 3: Cross multiply
    10,952.16x = 16,438 × 7,832
  4. Step 4: Simplify right side
    10,952.16x = 128,742,416
  5. Step 5: Solve for x
    x = 128,742,416/10,952.16
  6. Step 6: Final answer
    x = 11,754.98

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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.