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Finding the Fourth Proportional to 7,643.14, 11,464.70 and 5,045.47

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Solution

The fourth proportional to 7,643.14, 11,464.70 and 5,045.47 is: 7,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.14 : 11,464.70 = 5,045.47 : x
  2. Step 2: Convert to fraction form
    7,643.14/11,464.70 = 5,045.47/x
  3. Step 3: Cross multiply
    7,643.14x = 11,464.70 × 5,045.47
  4. Step 4: Simplify right side
    7,643.14x = 57,844,755.20
  5. Step 5: Solve for x
    x = 57,844,755.20/7,643.14
  6. Step 6: Final answer
    x = 7,568.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.