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Finding the Fourth Proportional to 7,594.29, 11,390.99 and 2,916.54

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Solution

The fourth proportional to 7,594.29, 11,390.99 and 2,916.54 is: 4,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.29 : 11,390.99 = 2,916.54 : x
  2. Step 2: Convert to fraction form
    7,594.29/11,390.99 = 2,916.54/x
  3. Step 3: Cross multiply
    7,594.29x = 11,390.99 × 2,916.54
  4. Step 4: Simplify right side
    7,594.29x = 33,222,263.39
  5. Step 5: Solve for x
    x = 33,222,263.39/7,594.29
  6. Step 6: Final answer
    x = 4,374.64

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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.