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Finding the Fourth Proportional to 11,406.69, 17,111.40 and 4,385.07

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Solution

The fourth proportional to 11,406.69, 17,111.40 and 4,385.07 is: 6,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.69 : 17,111.40 = 4,385.07 : x
  2. Step 2: Convert to fraction form
    11,406.69/17,111.40 = 4,385.07/x
  3. Step 3: Cross multiply
    11,406.69x = 17,111.40 × 4,385.07
  4. Step 4: Simplify right side
    11,406.69x = 75,034,695.02
  5. Step 5: Solve for x
    x = 75,034,695.02/11,406.69
  6. Step 6: Final answer
    x = 6,578.13

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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.