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Finding the Fourth Proportional to 10,006.98, 13,807.66 and 5,530.66

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Solution

The fourth proportional to 10,006.98, 13,807.66 and 5,530.66 is: 7,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.98 : 13,807.66 = 5,530.66 : x
  2. Step 2: Convert to fraction form
    10,006.98/13,807.66 = 5,530.66/x
  3. Step 3: Cross multiply
    10,006.98x = 13,807.66 × 5,530.66
  4. Step 4: Simplify right side
    10,006.98x = 76,365,472.86
  5. Step 5: Solve for x
    x = 76,365,472.86/10,006.98
  6. Step 6: Final answer
    x = 7,631.22

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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.