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Finding the Fourth Proportional to 10,681.74, 14,745.78 and 7,147.26

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Solution

The fourth proportional to 10,681.74, 14,745.78 and 7,147.26 is: 9,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.74 : 14,745.78 = 7,147.26 : x
  2. Step 2: Convert to fraction form
    10,681.74/14,745.78 = 7,147.26/x
  3. Step 3: Cross multiply
    10,681.74x = 14,745.78 × 7,147.26
  4. Step 4: Simplify right side
    10,681.74x = 105,391,923.56
  5. Step 5: Solve for x
    x = 105,391,923.56/10,681.74
  6. Step 6: Final answer
    x = 9,866.55

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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.