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Finding the Fourth Proportional to 8,952, 12,353.76 and 5,225.28

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Solution

The fourth proportional to 8,952, 12,353.76 and 5,225.28 is: 7,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952 : 12,353.76 = 5,225.28 : x
  2. Step 2: Convert to fraction form
    8,952/12,353.76 = 5,225.28/x
  3. Step 3: Cross multiply
    8,952x = 12,353.76 × 5,225.28
  4. Step 4: Simplify right side
    8,952x = 64,551,855.05
  5. Step 5: Solve for x
    x = 64,551,855.05/8,952
  6. Step 6: Final answer
    x = 7,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.