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Finding the Fourth Proportional to 7,598, 11,389.16 and 2,916.92

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Solution

The fourth proportional to 7,598, 11,389.16 and 2,916.92 is: 4,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598 : 11,389.16 = 2,916.92 : x
  2. Step 2: Convert to fraction form
    7,598/11,389.16 = 2,916.92/x
  3. Step 3: Cross multiply
    7,598x = 11,389.16 × 2,916.92
  4. Step 4: Simplify right side
    7,598x = 33,221,268.59
  5. Step 5: Solve for x
    x = 33,221,268.59/7,598
  6. Step 6: Final answer
    x = 4,372.37

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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.