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Finding the Fourth Proportional to 11,504.48, 15,877.50 and 6,400.51

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Solution

The fourth proportional to 11,504.48, 15,877.50 and 6,400.51 is: 8,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.48 : 15,877.50 = 6,400.51 : x
  2. Step 2: Convert to fraction form
    11,504.48/15,877.50 = 6,400.51/x
  3. Step 3: Cross multiply
    11,504.48x = 15,877.50 × 6,400.51
  4. Step 4: Simplify right side
    11,504.48x = 101,624,097.53
  5. Step 5: Solve for x
    x = 101,624,097.53/11,504.48
  6. Step 6: Final answer
    x = 8,833.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.