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Finding the Fourth Proportional to 10,508.33, 14,501.40 and 5,728.27

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Solution

The fourth proportional to 10,508.33, 14,501.40 and 5,728.27 is: 7,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.33 : 14,501.40 = 5,728.27 : x
  2. Step 2: Convert to fraction form
    10,508.33/14,501.40 = 5,728.27/x
  3. Step 3: Cross multiply
    10,508.33x = 14,501.40 × 5,728.27
  4. Step 4: Simplify right side
    10,508.33x = 83,067,934.58
  5. Step 5: Solve for x
    x = 83,067,934.58/10,508.33
  6. Step 6: Final answer
    x = 7,904.96

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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.