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Finding the Fourth Proportional to 10,571.52, 14,588.64 and 5,855.76

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Solution

The fourth proportional to 10,571.52, 14,588.64 and 5,855.76 is: 8,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.52 : 14,588.64 = 5,855.76 : x
  2. Step 2: Convert to fraction form
    10,571.52/14,588.64 = 5,855.76/x
  3. Step 3: Cross multiply
    10,571.52x = 14,588.64 × 5,855.76
  4. Step 4: Simplify right side
    10,571.52x = 85,427,574.57
  5. Step 5: Solve for x
    x = 85,427,574.57/10,571.52
  6. Step 6: Final answer
    x = 8,080.92

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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.