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Finding the Fourth Proportional to 11,888.40, 16,404.55 and 6,582.87

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Solution

The fourth proportional to 11,888.40, 16,404.55 and 6,582.87 is: 9,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.40 : 16,404.55 = 6,582.87 : x
  2. Step 2: Convert to fraction form
    11,888.40/16,404.55 = 6,582.87/x
  3. Step 3: Cross multiply
    11,888.40x = 16,404.55 × 6,582.87
  4. Step 4: Simplify right side
    11,888.40x = 107,989,022.12
  5. Step 5: Solve for x
    x = 107,989,022.12/11,888.40
  6. Step 6: Final answer
    x = 9,083.57

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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.