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Finding the Fourth Proportional to 10,423.99, 15,631.89 and 4,576.50

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Solution

The fourth proportional to 10,423.99, 15,631.89 and 4,576.50 is: 6,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.99 : 15,631.89 = 4,576.50 : x
  2. Step 2: Convert to fraction form
    10,423.99/15,631.89 = 4,576.50/x
  3. Step 3: Cross multiply
    10,423.99x = 15,631.89 × 4,576.50
  4. Step 4: Simplify right side
    10,423.99x = 71,539,327.42
  5. Step 5: Solve for x
    x = 71,539,327.42/10,423.99
  6. Step 6: Final answer
    x = 6,862.95

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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.