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Finding the Fourth Proportional to 10,150.06, 13,992.18 and 6,564.74

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Solution

The fourth proportional to 10,150.06, 13,992.18 and 6,564.74 is: 9,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.06 : 13,992.18 = 6,564.74 : x
  2. Step 2: Convert to fraction form
    10,150.06/13,992.18 = 6,564.74/x
  3. Step 3: Cross multiply
    10,150.06x = 13,992.18 × 6,564.74
  4. Step 4: Simplify right side
    10,150.06x = 91,854,990.91
  5. Step 5: Solve for x
    x = 91,854,990.91/10,150.06
  6. Step 6: Final answer
    x = 9,049.70

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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.