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Finding the Fourth Proportional to 7,699.52, 10,629.42 and 6,503.96

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Solution

The fourth proportional to 7,699.52, 10,629.42 and 6,503.96 is: 8,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.52 : 10,629.42 = 6,503.96 : x
  2. Step 2: Convert to fraction form
    7,699.52/10,629.42 = 6,503.96/x
  3. Step 3: Cross multiply
    7,699.52x = 10,629.42 × 6,503.96
  4. Step 4: Simplify right side
    7,699.52x = 69,133,322.50
  5. Step 5: Solve for x
    x = 69,133,322.50/7,699.52
  6. Step 6: Final answer
    x = 8,978.91

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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.