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Finding the Fourth Proportional to 8,315.23, 11,465.71 and 6,798.06

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Solution

The fourth proportional to 8,315.23, 11,465.71 and 6,798.06 is: 9,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.23 : 11,465.71 = 6,798.06 : x
  2. Step 2: Convert to fraction form
    8,315.23/11,465.71 = 6,798.06/x
  3. Step 3: Cross multiply
    8,315.23x = 11,465.71 × 6,798.06
  4. Step 4: Simplify right side
    8,315.23x = 77,944,584.52
  5. Step 5: Solve for x
    x = 77,944,584.52/8,315.23
  6. Step 6: Final answer
    x = 9,373.71

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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.