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Finding the Fourth Proportional to 10,333.67, 15,491.73 and 4,098.08

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Solution

The fourth proportional to 10,333.67, 15,491.73 and 4,098.08 is: 6,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.67 : 15,491.73 = 4,098.08 : x
  2. Step 2: Convert to fraction form
    10,333.67/15,491.73 = 4,098.08/x
  3. Step 3: Cross multiply
    10,333.67x = 15,491.73 × 4,098.08
  4. Step 4: Simplify right side
    10,333.67x = 63,486,271.42
  5. Step 5: Solve for x
    x = 63,486,271.42/10,333.67
  6. Step 6: Final answer
    x = 6,143.64

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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.