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Finding the Fourth Proportional to 7,642.27, 11,411.65 and 6,064.56

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Solution

The fourth proportional to 7,642.27, 11,411.65 and 6,064.56 is: 9,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.27 : 11,411.65 = 6,064.56 : x
  2. Step 2: Convert to fraction form
    7,642.27/11,411.65 = 6,064.56/x
  3. Step 3: Cross multiply
    7,642.27x = 11,411.65 × 6,064.56
  4. Step 4: Simplify right side
    7,642.27x = 69,206,636.12
  5. Step 5: Solve for x
    x = 69,206,636.12/7,642.27
  6. Step 6: Final answer
    x = 9,055.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.