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Finding the Fourth Proportional to 7,504.19, 10,355.80 and 4,147.00

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Solution

The fourth proportional to 7,504.19, 10,355.80 and 4,147.00 is: 5,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.19 : 10,355.80 = 4,147.00 : x
  2. Step 2: Convert to fraction form
    7,504.19/10,355.80 = 4,147.00/x
  3. Step 3: Cross multiply
    7,504.19x = 10,355.80 × 4,147.00
  4. Step 4: Simplify right side
    7,504.19x = 42,945,474.12
  5. Step 5: Solve for x
    x = 42,945,474.12/7,504.19
  6. Step 6: Final answer
    x = 5,722.86

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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.