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Finding the Fourth Proportional to 10,581.84, 14,602.90 and 5,801.80

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Solution

The fourth proportional to 10,581.84, 14,602.90 and 5,801.80 is: 8,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.84 : 14,602.90 = 5,801.80 : x
  2. Step 2: Convert to fraction form
    10,581.84/14,602.90 = 5,801.80/x
  3. Step 3: Cross multiply
    10,581.84x = 14,602.90 × 5,801.80
  4. Step 4: Simplify right side
    10,581.84x = 84,723,105.22
  5. Step 5: Solve for x
    x = 84,723,105.22/10,581.84
  6. Step 6: Final answer
    x = 8,006.46

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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.