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Finding the Fourth Proportional to 7,784.38, 10,744.12 and 4,596.50

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Solution

The fourth proportional to 7,784.38, 10,744.12 and 4,596.50 is: 6,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.38 : 10,744.12 = 4,596.50 : x
  2. Step 2: Convert to fraction form
    7,784.38/10,744.12 = 4,596.50/x
  3. Step 3: Cross multiply
    7,784.38x = 10,744.12 × 4,596.50
  4. Step 4: Simplify right side
    7,784.38x = 49,385,347.58
  5. Step 5: Solve for x
    x = 49,385,347.58/7,784.38
  6. Step 6: Final answer
    x = 6,344.16

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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.