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Finding the Fourth Proportional to 7,798.50, 10,762.11 and 4,816.38

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Solution

The fourth proportional to 7,798.50, 10,762.11 and 4,816.38 is: 6,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.50 : 10,762.11 = 4,816.38 : x
  2. Step 2: Convert to fraction form
    7,798.50/10,762.11 = 4,816.38/x
  3. Step 3: Cross multiply
    7,798.50x = 10,762.11 × 4,816.38
  4. Step 4: Simplify right side
    7,798.50x = 51,834,411.36
  5. Step 5: Solve for x
    x = 51,834,411.36/7,798.50
  6. Step 6: Final answer
    x = 6,646.72

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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.