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Finding the Fourth Proportional to 7,038.83, 9,711.09 and 4,204.24

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Solution

The fourth proportional to 7,038.83, 9,711.09 and 4,204.24 is: 5,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.83 : 9,711.09 = 4,204.24 : x
  2. Step 2: Convert to fraction form
    7,038.83/9,711.09 = 4,204.24/x
  3. Step 3: Cross multiply
    7,038.83x = 9,711.09 × 4,204.24
  4. Step 4: Simplify right side
    7,038.83x = 40,827,728.74
  5. Step 5: Solve for x
    x = 40,827,728.74/7,038.83
  6. Step 6: Final answer
    x = 5,800.36

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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.