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Finding the Fourth Proportional to 11,419.66, 15,758.59 and 6,384.52

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Solution

The fourth proportional to 11,419.66, 15,758.59 and 6,384.52 is: 8,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.66 : 15,758.59 = 6,384.52 : x
  2. Step 2: Convert to fraction form
    11,419.66/15,758.59 = 6,384.52/x
  3. Step 3: Cross multiply
    11,419.66x = 15,758.59 × 6,384.52
  4. Step 4: Simplify right side
    11,419.66x = 100,610,922.31
  5. Step 5: Solve for x
    x = 100,610,922.31/11,419.66
  6. Step 6: Final answer
    x = 8,810.33

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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.