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Finding the Fourth Proportional to 7,681.52, 11,530.29 and 6,809.60

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Solution

The fourth proportional to 7,681.52, 11,530.29 and 6,809.60 is: 10,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.52 : 11,530.29 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    7,681.52/11,530.29 = 6,809.60/x
  3. Step 3: Cross multiply
    7,681.52x = 11,530.29 × 6,809.60
  4. Step 4: Simplify right side
    7,681.52x = 78,516,662.78
  5. Step 5: Solve for x
    x = 78,516,662.78/7,681.52
  6. Step 6: Final answer
    x = 10,221.50

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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.