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Finding the Fourth Proportional to 7,053.68, 10,582.59 and 3,157.22

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Solution

The fourth proportional to 7,053.68, 10,582.59 and 3,157.22 is: 4,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.68 : 10,582.59 = 3,157.22 : x
  2. Step 2: Convert to fraction form
    7,053.68/10,582.59 = 3,157.22/x
  3. Step 3: Cross multiply
    7,053.68x = 10,582.59 × 3,157.22
  4. Step 4: Simplify right side
    7,053.68x = 33,411,564.80
  5. Step 5: Solve for x
    x = 33,411,564.80/7,053.68
  6. Step 6: Final answer
    x = 4,736.76

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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.