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Finding the Fourth Proportional to 10,280.57, 14,187.83 and 5,802.69

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Solution

The fourth proportional to 10,280.57, 14,187.83 and 5,802.69 is: 8,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.57 : 14,187.83 = 5,802.69 : x
  2. Step 2: Convert to fraction form
    10,280.57/14,187.83 = 5,802.69/x
  3. Step 3: Cross multiply
    10,280.57x = 14,187.83 × 5,802.69
  4. Step 4: Simplify right side
    10,280.57x = 82,327,579.26
  5. Step 5: Solve for x
    x = 82,327,579.26/10,280.57
  6. Step 6: Final answer
    x = 8,008.08

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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.