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Finding the Fourth Proportional to 10,984.68, 16,473.83 and 6,303.90

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Solution

The fourth proportional to 10,984.68, 16,473.83 and 6,303.90 is: 9,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.68 : 16,473.83 = 6,303.90 : x
  2. Step 2: Convert to fraction form
    10,984.68/16,473.83 = 6,303.90/x
  3. Step 3: Cross multiply
    10,984.68x = 16,473.83 × 6,303.90
  4. Step 4: Simplify right side
    10,984.68x = 103,849,345.42
  5. Step 5: Solve for x
    x = 103,849,345.42/10,984.68
  6. Step 6: Final answer
    x = 9,454.02

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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.