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Finding the Fourth Proportional to 10,005.96, 15,011.54 and 5,849.51

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Solution

The fourth proportional to 10,005.96, 15,011.54 and 5,849.51 is: 8,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.96 : 15,011.54 = 5,849.51 : x
  2. Step 2: Convert to fraction form
    10,005.96/15,011.54 = 5,849.51/x
  3. Step 3: Cross multiply
    10,005.96x = 15,011.54 × 5,849.51
  4. Step 4: Simplify right side
    10,005.96x = 87,810,188.32
  5. Step 5: Solve for x
    x = 87,810,188.32/10,005.96
  6. Step 6: Final answer
    x = 8,775.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.