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Finding the Fourth Proportional to 7,283.12, 10,925.40 and 4,976.24

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Solution

The fourth proportional to 7,283.12, 10,925.40 and 4,976.24 is: 7,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.12 : 10,925.40 = 4,976.24 : x
  2. Step 2: Convert to fraction form
    7,283.12/10,925.40 = 4,976.24/x
  3. Step 3: Cross multiply
    7,283.12x = 10,925.40 × 4,976.24
  4. Step 4: Simplify right side
    7,283.12x = 54,367,412.50
  5. Step 5: Solve for x
    x = 54,367,412.50/7,283.12
  6. Step 6: Final answer
    x = 7,464.85

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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.