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Finding the Fourth Proportional to 7,405.34, 10,219.39 and 4,048.20

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Solution

The fourth proportional to 7,405.34, 10,219.39 and 4,048.20 is: 5,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.34 : 10,219.39 = 4,048.20 : x
  2. Step 2: Convert to fraction form
    7,405.34/10,219.39 = 4,048.20/x
  3. Step 3: Cross multiply
    7,405.34x = 10,219.39 × 4,048.20
  4. Step 4: Simplify right side
    7,405.34x = 41,370,088.56
  5. Step 5: Solve for x
    x = 41,370,088.56/7,405.34
  6. Step 6: Final answer
    x = 5,586.52

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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.