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Finding the Fourth Proportional to 10,633.23, 14,678.89 and 7,098.80

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Solution

The fourth proportional to 10,633.23, 14,678.89 and 7,098.80 is: 9,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.23 : 14,678.89 = 7,098.80 : x
  2. Step 2: Convert to fraction form
    10,633.23/14,678.89 = 7,098.80/x
  3. Step 3: Cross multiply
    10,633.23x = 14,678.89 × 7,098.80
  4. Step 4: Simplify right side
    10,633.23x = 104,202,413.19
  5. Step 5: Solve for x
    x = 104,202,413.19/10,633.23
  6. Step 6: Final answer
    x = 9,799.70

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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.