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Finding the Fourth Proportional to 7,395.38, 10,205.52 and 4,038.28

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Solution

The fourth proportional to 7,395.38, 10,205.52 and 4,038.28 is: 5,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.38 : 10,205.52 = 4,038.28 : x
  2. Step 2: Convert to fraction form
    7,395.38/10,205.52 = 4,038.28/x
  3. Step 3: Cross multiply
    7,395.38x = 10,205.52 × 4,038.28
  4. Step 4: Simplify right side
    7,395.38x = 41,212,746.71
  5. Step 5: Solve for x
    x = 41,212,746.71/7,395.38
  6. Step 6: Final answer
    x = 5,572.77

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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.