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Finding the Fourth Proportional to 7,642.26, 10,544.40 and 4,497.84

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Solution

The fourth proportional to 7,642.26, 10,544.40 and 4,497.84 is: 6,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.26 : 10,544.40 = 4,497.84 : x
  2. Step 2: Convert to fraction form
    7,642.26/10,544.40 = 4,497.84/x
  3. Step 3: Cross multiply
    7,642.26x = 10,544.40 × 4,497.84
  4. Step 4: Simplify right side
    7,642.26x = 47,427,024.10
  5. Step 5: Solve for x
    x = 47,427,024.10/7,642.26
  6. Step 6: Final answer
    x = 6,205.89

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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.