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Finding the Fourth Proportional to 10,491.07, 15,743.88 and 6,784.11

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Solution

The fourth proportional to 10,491.07, 15,743.88 and 6,784.11 is: 10,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.07 : 15,743.88 = 6,784.11 : x
  2. Step 2: Convert to fraction form
    10,491.07/15,743.88 = 6,784.11/x
  3. Step 3: Cross multiply
    10,491.07x = 15,743.88 × 6,784.11
  4. Step 4: Simplify right side
    10,491.07x = 106,808,213.75
  5. Step 5: Solve for x
    x = 106,808,213.75/10,491.07
  6. Step 6: Final answer
    x = 10,180.87

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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.