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Finding the Fourth Proportional to 8,821.47, 12,174.81 and 5,686.77

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Solution

The fourth proportional to 8,821.47, 12,174.81 and 5,686.77 is: 7,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.47 : 12,174.81 = 5,686.77 : x
  2. Step 2: Convert to fraction form
    8,821.47/12,174.81 = 5,686.77/x
  3. Step 3: Cross multiply
    8,821.47x = 12,174.81 × 5,686.77
  4. Step 4: Simplify right side
    8,821.47x = 69,235,344.26
  5. Step 5: Solve for x
    x = 69,235,344.26/8,821.47
  6. Step 6: Final answer
    x = 7,848.50

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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.