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Finding the Fourth Proportional to 10,491.63, 15,732.58 and 3,913.08

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Solution

The fourth proportional to 10,491.63, 15,732.58 and 3,913.08 is: 5,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.63 : 15,732.58 = 3,913.08 : x
  2. Step 2: Convert to fraction form
    10,491.63/15,732.58 = 3,913.08/x
  3. Step 3: Cross multiply
    10,491.63x = 15,732.58 × 3,913.08
  4. Step 4: Simplify right side
    10,491.63x = 61,562,844.15
  5. Step 5: Solve for x
    x = 61,562,844.15/10,491.63
  6. Step 6: Final answer
    x = 5,867.81

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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.