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Finding the Fourth Proportional to 7,561.68, 10,431.72 and 4,416

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Solution

The fourth proportional to 7,561.68, 10,431.72 and 4,416 is: 6,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.68 : 10,431.72 = 4,416 : x
  2. Step 2: Convert to fraction form
    7,561.68/10,431.72 = 4,416/x
  3. Step 3: Cross multiply
    7,561.68x = 10,431.72 × 4,416
  4. Step 4: Simplify right side
    7,561.68x = 46,066,475.52
  5. Step 5: Solve for x
    x = 46,066,475.52/7,561.68
  6. Step 6: Final answer
    x = 6,092.10

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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.