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Finding the Fourth Proportional to 11,357.91, 15,673.14 and 7,108.80

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Solution

The fourth proportional to 11,357.91, 15,673.14 and 7,108.80 is: 9,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.91 : 15,673.14 = 7,108.80 : x
  2. Step 2: Convert to fraction form
    11,357.91/15,673.14 = 7,108.80/x
  3. Step 3: Cross multiply
    11,357.91x = 15,673.14 × 7,108.80
  4. Step 4: Simplify right side
    11,357.91x = 111,417,217.63
  5. Step 5: Solve for x
    x = 111,417,217.63/11,357.91
  6. Step 6: Final answer
    x = 9,809.66

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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.