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Finding the Fourth Proportional to 7,672.50, 10,588.14 and 4,647.56

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Solution

The fourth proportional to 7,672.50, 10,588.14 and 4,647.56 is: 6,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.50 : 10,588.14 = 4,647.56 : x
  2. Step 2: Convert to fraction form
    7,672.50/10,588.14 = 4,647.56/x
  3. Step 3: Cross multiply
    7,672.50x = 10,588.14 × 4,647.56
  4. Step 4: Simplify right side
    7,672.50x = 49,208,963.00
  5. Step 5: Solve for x
    x = 49,208,963.00/7,672.50
  6. Step 6: Final answer
    x = 6,413.68

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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.