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Finding the Fourth Proportional to 7,732.40, 11,582.40 and 6,436.40

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Solution

The fourth proportional to 7,732.40, 11,582.40 and 6,436.40 is: 9,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.40 : 11,582.40 = 6,436.40 : x
  2. Step 2: Convert to fraction form
    7,732.40/11,582.40 = 6,436.40/x
  3. Step 3: Cross multiply
    7,732.40x = 11,582.40 × 6,436.40
  4. Step 4: Simplify right side
    7,732.40x = 74,548,959.36
  5. Step 5: Solve for x
    x = 74,548,959.36/7,732.40
  6. Step 6: Final answer
    x = 9,641.12

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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.