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Finding the Fourth Proportional to 10,020.41, 13,833.68 and 7,501.61

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Solution

The fourth proportional to 10,020.41, 13,833.68 and 7,501.61 is: 10,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.41 : 13,833.68 = 7,501.61 : x
  2. Step 2: Convert to fraction form
    10,020.41/13,833.68 = 7,501.61/x
  3. Step 3: Cross multiply
    10,020.41x = 13,833.68 × 7,501.61
  4. Step 4: Simplify right side
    10,020.41x = 103,774,872.22
  5. Step 5: Solve for x
    x = 103,774,872.22/10,020.41
  6. Step 6: Final answer
    x = 10,356.35

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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.