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Finding the Fourth Proportional to 7,053.40, 9,742.98 and 5,880.52

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Solution

The fourth proportional to 7,053.40, 9,742.98 and 5,880.52 is: 8,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.40 : 9,742.98 = 5,880.52 : x
  2. Step 2: Convert to fraction form
    7,053.40/9,742.98 = 5,880.52/x
  3. Step 3: Cross multiply
    7,053.40x = 9,742.98 × 5,880.52
  4. Step 4: Simplify right side
    7,053.40x = 57,293,788.75
  5. Step 5: Solve for x
    x = 57,293,788.75/7,053.40
  6. Step 6: Final answer
    x = 8,122.86

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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.