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Finding the Fourth Proportional to 11,098.35, 15,315.71 and 6,628.14

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Solution

The fourth proportional to 11,098.35, 15,315.71 and 6,628.14 is: 9,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.35 : 15,315.71 = 6,628.14 : x
  2. Step 2: Convert to fraction form
    11,098.35/15,315.71 = 6,628.14/x
  3. Step 3: Cross multiply
    11,098.35x = 15,315.71 × 6,628.14
  4. Step 4: Simplify right side
    11,098.35x = 101,514,636.94
  5. Step 5: Solve for x
    x = 101,514,636.94/11,098.35
  6. Step 6: Final answer
    x = 9,146.82

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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.