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Finding the Fourth Proportional to 10,559.58, 14,571.81 and 5,843.76

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Solution

The fourth proportional to 10,559.58, 14,571.81 and 5,843.76 is: 8,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.58 : 14,571.81 = 5,843.76 : x
  2. Step 2: Convert to fraction form
    10,559.58/14,571.81 = 5,843.76/x
  3. Step 3: Cross multiply
    10,559.58x = 14,571.81 × 5,843.76
  4. Step 4: Simplify right side
    10,559.58x = 85,154,160.41
  5. Step 5: Solve for x
    x = 85,154,160.41/10,559.58
  6. Step 6: Final answer
    x = 8,064.16

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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.