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Finding the Fourth Proportional to 10,438.07, 15,662.12 and 4,890.51

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Solution

The fourth proportional to 10,438.07, 15,662.12 and 4,890.51 is: 7,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.07 : 15,662.12 = 4,890.51 : x
  2. Step 2: Convert to fraction form
    10,438.07/15,662.12 = 4,890.51/x
  3. Step 3: Cross multiply
    10,438.07x = 15,662.12 × 4,890.51
  4. Step 4: Simplify right side
    10,438.07x = 76,595,730.03
  5. Step 5: Solve for x
    x = 76,595,730.03/10,438.07
  6. Step 6: Final answer
    x = 7,338.12

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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.