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Finding the Fourth Proportional to 10,348.73, 14,280.83 and 5,633.01

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Solution

The fourth proportional to 10,348.73, 14,280.83 and 5,633.01 is: 7,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.73 : 14,280.83 = 5,633.01 : x
  2. Step 2: Convert to fraction form
    10,348.73/14,280.83 = 5,633.01/x
  3. Step 3: Cross multiply
    10,348.73x = 14,280.83 × 5,633.01
  4. Step 4: Simplify right side
    10,348.73x = 80,444,058.20
  5. Step 5: Solve for x
    x = 80,444,058.20/10,348.73
  6. Step 6: Final answer
    x = 7,773.33

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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.