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Finding the Fourth Proportional to 7,053.96, 10,585.28 and 4,137.96

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Solution

The fourth proportional to 7,053.96, 10,585.28 and 4,137.96 is: 6,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.96 : 10,585.28 = 4,137.96 : x
  2. Step 2: Convert to fraction form
    7,053.96/10,585.28 = 4,137.96/x
  3. Step 3: Cross multiply
    7,053.96x = 10,585.28 × 4,137.96
  4. Step 4: Simplify right side
    7,053.96x = 43,801,465.23
  5. Step 5: Solve for x
    x = 43,801,465.23/7,053.96
  6. Step 6: Final answer
    x = 6,209.49

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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.