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Finding the Fourth Proportional to 11,838.14, 17,759.03 and 4,045.13

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Solution

The fourth proportional to 11,838.14, 17,759.03 and 4,045.13 is: 6,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.14 : 17,759.03 = 4,045.13 : x
  2. Step 2: Convert to fraction form
    11,838.14/17,759.03 = 4,045.13/x
  3. Step 3: Cross multiply
    11,838.14x = 17,759.03 × 4,045.13
  4. Step 4: Simplify right side
    11,838.14x = 71,837,585.02
  5. Step 5: Solve for x
    x = 71,837,585.02/11,838.14
  6. Step 6: Final answer
    x = 6,068.32

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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.