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Finding the Fourth Proportional to 11,339.16, 16,975.94 and 7,386.16

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Solution

The fourth proportional to 11,339.16, 16,975.94 and 7,386.16 is: 11,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.16 : 16,975.94 = 7,386.16 : x
  2. Step 2: Convert to fraction form
    11,339.16/16,975.94 = 7,386.16/x
  3. Step 3: Cross multiply
    11,339.16x = 16,975.94 × 7,386.16
  4. Step 4: Simplify right side
    11,339.16x = 125,387,008.99
  5. Step 5: Solve for x
    x = 125,387,008.99/11,339.16
  6. Step 6: Final answer
    x = 11,057.87

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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.