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Finding the Fourth Proportional to 7,198.77, 10,784.30 and 4,417.32

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Solution

The fourth proportional to 7,198.77, 10,784.30 and 4,417.32 is: 6,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.77 : 10,784.30 = 4,417.32 : x
  2. Step 2: Convert to fraction form
    7,198.77/10,784.30 = 4,417.32/x
  3. Step 3: Cross multiply
    7,198.77x = 10,784.30 × 4,417.32
  4. Step 4: Simplify right side
    7,198.77x = 47,637,704.08
  5. Step 5: Solve for x
    x = 47,637,704.08/7,198.77
  6. Step 6: Final answer
    x = 6,617.48

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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.