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Finding the Fourth Proportional to 7,405.09, 10,219.01 and 4,047.91

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Solution

The fourth proportional to 7,405.09, 10,219.01 and 4,047.91 is: 5,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.09 : 10,219.01 = 4,047.91 : x
  2. Step 2: Convert to fraction form
    7,405.09/10,219.01 = 4,047.91/x
  3. Step 3: Cross multiply
    7,405.09x = 10,219.01 × 4,047.91
  4. Step 4: Simplify right side
    7,405.09x = 41,365,632.77
  5. Step 5: Solve for x
    x = 41,365,632.77/7,405.09
  6. Step 6: Final answer
    x = 5,586.11

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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.