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Finding the Fourth Proportional to 7,560, 10,434 and 4,417.92

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Solution

The fourth proportional to 7,560, 10,434 and 4,417.92 is: 6,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560 : 10,434 = 4,417.92 : x
  2. Step 2: Convert to fraction form
    7,560/10,434 = 4,417.92/x
  3. Step 3: Cross multiply
    7,560x = 10,434 × 4,417.92
  4. Step 4: Simplify right side
    7,560x = 46,096,577.28
  5. Step 5: Solve for x
    x = 46,096,577.28/7,560
  6. Step 6: Final answer
    x = 6,097.43

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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.