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Finding the Fourth Proportional to 7,405.32, 10,219.12 and 4,048.20

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Solution

The fourth proportional to 7,405.32, 10,219.12 and 4,048.20 is: 5,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.32 : 10,219.12 = 4,048.20 : x
  2. Step 2: Convert to fraction form
    7,405.32/10,219.12 = 4,048.20/x
  3. Step 3: Cross multiply
    7,405.32x = 10,219.12 × 4,048.20
  4. Step 4: Simplify right side
    7,405.32x = 41,369,041.58
  5. Step 5: Solve for x
    x = 41,369,041.58/7,405.32
  6. Step 6: Final answer
    x = 5,586.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.