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Finding the Fourth Proportional to 10,557.69, 14,568.39 and 5,841.69

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Solution

The fourth proportional to 10,557.69, 14,568.39 and 5,841.69 is: 8,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.69 : 14,568.39 = 5,841.69 : x
  2. Step 2: Convert to fraction form
    10,557.69/14,568.39 = 5,841.69/x
  3. Step 3: Cross multiply
    10,557.69x = 14,568.39 × 5,841.69
  4. Step 4: Simplify right side
    10,557.69x = 85,104,018.18
  5. Step 5: Solve for x
    x = 85,104,018.18/10,557.69
  6. Step 6: Final answer
    x = 8,060.86

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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.