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Finding the Fourth Proportional to 7,642.40, 10,530.69 and 6,144.30

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Solution

The fourth proportional to 7,642.40, 10,530.69 and 6,144.30 is: 8,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.40 : 10,530.69 = 6,144.30 : x
  2. Step 2: Convert to fraction form
    7,642.40/10,530.69 = 6,144.30/x
  3. Step 3: Cross multiply
    7,642.40x = 10,530.69 × 6,144.30
  4. Step 4: Simplify right side
    7,642.40x = 64,703,718.57
  5. Step 5: Solve for x
    x = 64,703,718.57/7,642.40
  6. Step 6: Final answer
    x = 8,466.42

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