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Finding the Fourth Proportional to 8,477.04, 11,686.83 and 7,148.44

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Solution

The fourth proportional to 8,477.04, 11,686.83 and 7,148.44 is: 9,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.04 : 11,686.83 = 7,148.44 : x
  2. Step 2: Convert to fraction form
    8,477.04/11,686.83 = 7,148.44/x
  3. Step 3: Cross multiply
    8,477.04x = 11,686.83 × 7,148.44
  4. Step 4: Simplify right side
    8,477.04x = 83,542,544.61
  5. Step 5: Solve for x
    x = 83,542,544.61/8,477.04
  6. Step 6: Final answer
    x = 9,855.16

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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.