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Finding the Fourth Proportional to 8,875.65, 13,294.23 and 5,745.51

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Solution

The fourth proportional to 8,875.65, 13,294.23 and 5,745.51 is: 8,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.65 : 13,294.23 = 5,745.51 : x
  2. Step 2: Convert to fraction form
    8,875.65/13,294.23 = 5,745.51/x
  3. Step 3: Cross multiply
    8,875.65x = 13,294.23 × 5,745.51
  4. Step 4: Simplify right side
    8,875.65x = 76,382,072.47
  5. Step 5: Solve for x
    x = 76,382,072.47/8,875.65
  6. Step 6: Final answer
    x = 8,605.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.