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Finding the Fourth Proportional to 7,053.44, 9,730.61 and 4,535.08

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Solution

The fourth proportional to 7,053.44, 9,730.61 and 4,535.08 is: 6,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.44 : 9,730.61 = 4,535.08 : x
  2. Step 2: Convert to fraction form
    7,053.44/9,730.61 = 4,535.08/x
  3. Step 3: Cross multiply
    7,053.44x = 9,730.61 × 4,535.08
  4. Step 4: Simplify right side
    7,053.44x = 44,129,064.80
  5. Step 5: Solve for x
    x = 44,129,064.80/7,053.44
  6. Step 6: Final answer
    x = 6,256.39

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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.