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Finding the Fourth Proportional to 10,565.49, 14,578.83 and 5,849.76

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Solution

The fourth proportional to 10,565.49, 14,578.83 and 5,849.76 is: 8,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.49 : 14,578.83 = 5,849.76 : x
  2. Step 2: Convert to fraction form
    10,565.49/14,578.83 = 5,849.76/x
  3. Step 3: Cross multiply
    10,565.49x = 14,578.83 × 5,849.76
  4. Step 4: Simplify right side
    10,565.49x = 85,282,656.58
  5. Step 5: Solve for x
    x = 85,282,656.58/10,565.49
  6. Step 6: Final answer
    x = 8,071.81

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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.