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Finding the Fourth Proportional to 7,406.66, 10,221.35 and 4,049.46

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Solution

The fourth proportional to 7,406.66, 10,221.35 and 4,049.46 is: 5,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.66 : 10,221.35 = 4,049.46 : x
  2. Step 2: Convert to fraction form
    7,406.66/10,221.35 = 4,049.46/x
  3. Step 3: Cross multiply
    7,406.66x = 10,221.35 × 4,049.46
  4. Step 4: Simplify right side
    7,406.66x = 41,390,927.72
  5. Step 5: Solve for x
    x = 41,390,927.72/7,406.66
  6. Step 6: Final answer
    x = 5,588.34

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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.