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Finding the Fourth Proportional to 10,715.67, 14,772.39 and 7,878.03

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Solution

The fourth proportional to 10,715.67, 14,772.39 and 7,878.03 is: 10,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.67 : 14,772.39 = 7,878.03 : x
  2. Step 2: Convert to fraction form
    10,715.67/14,772.39 = 7,878.03/x
  3. Step 3: Cross multiply
    10,715.67x = 14,772.39 × 7,878.03
  4. Step 4: Simplify right side
    10,715.67x = 116,377,331.59
  5. Step 5: Solve for x
    x = 116,377,331.59/10,715.67
  6. Step 6: Final answer
    x = 10,860.48

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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.