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Finding the Fourth Proportional to 10,005.83, 13,807.85 and 5,529.48

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Solution

The fourth proportional to 10,005.83, 13,807.85 and 5,529.48 is: 7,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.83 : 13,807.85 = 5,529.48 : x
  2. Step 2: Convert to fraction form
    10,005.83/13,807.85 = 5,529.48/x
  3. Step 3: Cross multiply
    10,005.83x = 13,807.85 × 5,529.48
  4. Step 4: Simplify right side
    10,005.83x = 76,350,230.42
  5. Step 5: Solve for x
    x = 76,350,230.42/10,005.83
  6. Step 6: Final answer
    x = 7,630.57

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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.