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Finding the Fourth Proportional to 10,434.65, 14,413.61 and 7,777.44

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Solution

The fourth proportional to 10,434.65, 14,413.61 and 7,777.44 is: 10,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.65 : 14,413.61 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    10,434.65/14,413.61 = 7,777.44/x
  3. Step 3: Cross multiply
    10,434.65x = 14,413.61 × 7,777.44
  4. Step 4: Simplify right side
    10,434.65x = 112,101,006.40
  5. Step 5: Solve for x
    x = 112,101,006.40/10,434.65
  6. Step 6: Final answer
    x = 10,743.15

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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.