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Finding the Fourth Proportional to 7,395.82, 10,206.38 and 4,038.77

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Solution

The fourth proportional to 7,395.82, 10,206.38 and 4,038.77 is: 5,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.82 : 10,206.38 = 4,038.77 : x
  2. Step 2: Convert to fraction form
    7,395.82/10,206.38 = 4,038.77/x
  3. Step 3: Cross multiply
    7,395.82x = 10,206.38 × 4,038.77
  4. Step 4: Simplify right side
    7,395.82x = 41,221,221.35
  5. Step 5: Solve for x
    x = 41,221,221.35/7,395.82
  6. Step 6: Final answer
    x = 5,573.58

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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.