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Finding the Fourth Proportional to 7,594.44, 11,384.10 and 5,281.08

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Solution

The fourth proportional to 7,594.44, 11,384.10 and 5,281.08 is: 7,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.44 : 11,384.10 = 5,281.08 : x
  2. Step 2: Convert to fraction form
    7,594.44/11,384.10 = 5,281.08/x
  3. Step 3: Cross multiply
    7,594.44x = 11,384.10 × 5,281.08
  4. Step 4: Simplify right side
    7,594.44x = 60,120,342.83
  5. Step 5: Solve for x
    x = 60,120,342.83/7,594.44
  6. Step 6: Final answer
    x = 7,916.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.