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Finding the Fourth Proportional to 10,537.96, 15,815.81 and 5,271.39

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Solution

The fourth proportional to 10,537.96, 15,815.81 and 5,271.39 is: 7,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.96 : 15,815.81 = 5,271.39 : x
  2. Step 2: Convert to fraction form
    10,537.96/15,815.81 = 5,271.39/x
  3. Step 3: Cross multiply
    10,537.96x = 15,815.81 × 5,271.39
  4. Step 4: Simplify right side
    10,537.96x = 83,371,289.50
  5. Step 5: Solve for x
    x = 83,371,289.50/10,537.96
  6. Step 6: Final answer
    x = 7,911.52

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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.