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Finding the Fourth Proportional to 10,486.77, 15,732.87 and 3,913

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Solution

The fourth proportional to 10,486.77, 15,732.87 and 3,913 is: 5,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.77 : 15,732.87 = 3,913 : x
  2. Step 2: Convert to fraction form
    10,486.77/15,732.87 = 3,913/x
  3. Step 3: Cross multiply
    10,486.77x = 15,732.87 × 3,913
  4. Step 4: Simplify right side
    10,486.77x = 61,562,720.31
  5. Step 5: Solve for x
    x = 61,562,720.31/10,486.77
  6. Step 6: Final answer
    x = 5,870.52

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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.