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Finding the Fourth Proportional to 7,182.16, 9,911.38 and 4,038.34

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Solution

The fourth proportional to 7,182.16, 9,911.38 and 4,038.34 is: 5,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.16 : 9,911.38 = 4,038.34 : x
  2. Step 2: Convert to fraction form
    7,182.16/9,911.38 = 4,038.34/x
  3. Step 3: Cross multiply
    7,182.16x = 9,911.38 × 4,038.34
  4. Step 4: Simplify right side
    7,182.16x = 40,025,522.31
  5. Step 5: Solve for x
    x = 40,025,522.31/7,182.16
  6. Step 6: Final answer
    x = 5,572.91

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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.