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Finding the Fourth Proportional to 7,263.68, 10,894.10 and 6,038.96

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Solution

The fourth proportional to 7,263.68, 10,894.10 and 6,038.96 is: 9,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.68 : 10,894.10 = 6,038.96 : x
  2. Step 2: Convert to fraction form
    7,263.68/10,894.10 = 6,038.96/x
  3. Step 3: Cross multiply
    7,263.68x = 10,894.10 × 6,038.96
  4. Step 4: Simplify right side
    7,263.68x = 65,788,949.47
  5. Step 5: Solve for x
    x = 65,788,949.47/7,263.68
  6. Step 6: Final answer
    x = 9,057.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.