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Finding the Fourth Proportional to 7,718.63, 11,593.44 and 4,604.72

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Solution

The fourth proportional to 7,718.63, 11,593.44 and 4,604.72 is: 6,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.63 : 11,593.44 = 4,604.72 : x
  2. Step 2: Convert to fraction form
    7,718.63/11,593.44 = 4,604.72/x
  3. Step 3: Cross multiply
    7,718.63x = 11,593.44 × 4,604.72
  4. Step 4: Simplify right side
    7,718.63x = 53,384,487.07
  5. Step 5: Solve for x
    x = 53,384,487.07/7,718.63
  6. Step 6: Final answer
    x = 6,916.32

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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.