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Finding the Fourth Proportional to 10,005.72, 13,808.73 and 5,530.35

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Solution

The fourth proportional to 10,005.72, 13,808.73 and 5,530.35 is: 7,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.72 : 13,808.73 = 5,530.35 : x
  2. Step 2: Convert to fraction form
    10,005.72/13,808.73 = 5,530.35/x
  3. Step 3: Cross multiply
    10,005.72x = 13,808.73 × 5,530.35
  4. Step 4: Simplify right side
    10,005.72x = 76,367,109.96
  5. Step 5: Solve for x
    x = 76,367,109.96/10,005.72
  6. Step 6: Final answer
    x = 7,632.35

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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.