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Finding the Fourth Proportional to 8,295.71, 11,448.23 and 4,758.93

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Solution

The fourth proportional to 8,295.71, 11,448.23 and 4,758.93 is: 6,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.71 : 11,448.23 = 4,758.93 : x
  2. Step 2: Convert to fraction form
    8,295.71/11,448.23 = 4,758.93/x
  3. Step 3: Cross multiply
    8,295.71x = 11,448.23 × 4,758.93
  4. Step 4: Simplify right side
    8,295.71x = 54,481,301.40
  5. Step 5: Solve for x
    x = 54,481,301.40/8,295.71
  6. Step 6: Final answer
    x = 6,567.41

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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.