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Finding the Fourth Proportional to 11,807.48, 17,711.24 and 4,411.84

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Solution

The fourth proportional to 11,807.48, 17,711.24 and 4,411.84 is: 6,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.48 : 17,711.24 = 4,411.84 : x
  2. Step 2: Convert to fraction form
    11,807.48/17,711.24 = 4,411.84/x
  3. Step 3: Cross multiply
    11,807.48x = 17,711.24 × 4,411.84
  4. Step 4: Simplify right side
    11,807.48x = 78,139,157.08
  5. Step 5: Solve for x
    x = 78,139,157.08/11,807.48
  6. Step 6: Final answer
    x = 6,617.77

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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.