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Finding the Fourth Proportional to 7,807.08, 10,772.58 and 4,450.05

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Solution

The fourth proportional to 7,807.08, 10,772.58 and 4,450.05 is: 6,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.08 : 10,772.58 = 4,450.05 : x
  2. Step 2: Convert to fraction form
    7,807.08/10,772.58 = 4,450.05/x
  3. Step 3: Cross multiply
    7,807.08x = 10,772.58 × 4,450.05
  4. Step 4: Simplify right side
    7,807.08x = 47,938,519.63
  5. Step 5: Solve for x
    x = 47,938,519.63/7,807.08
  6. Step 6: Final answer
    x = 6,140.39

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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.