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Finding the Fourth Proportional to 11,572.68, 17,394.22 and 7,700.68

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Solution

The fourth proportional to 11,572.68, 17,394.22 and 7,700.68 is: 11,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.68 : 17,394.22 = 7,700.68 : x
  2. Step 2: Convert to fraction form
    11,572.68/17,394.22 = 7,700.68/x
  3. Step 3: Cross multiply
    11,572.68x = 17,394.22 × 7,700.68
  4. Step 4: Simplify right side
    11,572.68x = 133,947,322.07
  5. Step 5: Solve for x
    x = 133,947,322.07/11,572.68
  6. Step 6: Final answer
    x = 11,574.44

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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.