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Finding the Fourth Proportional to 10,289.87, 15,438.50 and 4,046.42

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Solution

The fourth proportional to 10,289.87, 15,438.50 and 4,046.42 is: 6,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.87 : 15,438.50 = 4,046.42 : x
  2. Step 2: Convert to fraction form
    10,289.87/15,438.50 = 4,046.42/x
  3. Step 3: Cross multiply
    10,289.87x = 15,438.50 × 4,046.42
  4. Step 4: Simplify right side
    10,289.87x = 62,470,688.71
  5. Step 5: Solve for x
    x = 62,470,688.71/10,289.87
  6. Step 6: Final answer
    x = 6,071.09

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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.