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Finding the Fourth Proportional to 10,005.64, 13,807.36 and 5,529.56

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Solution

The fourth proportional to 10,005.64, 13,807.36 and 5,529.56 is: 7,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.64 : 13,807.36 = 5,529.56 : x
  2. Step 2: Convert to fraction form
    10,005.64/13,807.36 = 5,529.56/x
  3. Step 3: Cross multiply
    10,005.64x = 13,807.36 × 5,529.56
  4. Step 4: Simplify right side
    10,005.64x = 76,348,625.56
  5. Step 5: Solve for x
    x = 76,348,625.56/10,005.64
  6. Step 6: Final answer
    x = 7,630.56

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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.