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Finding the Fourth Proportional to 7,573.17, 10,451.46 and 5,053.68

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Solution

The fourth proportional to 7,573.17, 10,451.46 and 5,053.68 is: 6,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.17 : 10,451.46 = 5,053.68 : x
  2. Step 2: Convert to fraction form
    7,573.17/10,451.46 = 5,053.68/x
  3. Step 3: Cross multiply
    7,573.17x = 10,451.46 × 5,053.68
  4. Step 4: Simplify right side
    7,573.17x = 52,818,314.13
  5. Step 5: Solve for x
    x = 52,818,314.13/7,573.17
  6. Step 6: Final answer
    x = 6,974.40

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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.