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Finding the Fourth Proportional to 10,773.16, 14,865.78 and 6,580.60

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Solution

The fourth proportional to 10,773.16, 14,865.78 and 6,580.60 is: 9,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.16 : 14,865.78 = 6,580.60 : x
  2. Step 2: Convert to fraction form
    10,773.16/14,865.78 = 6,580.60/x
  3. Step 3: Cross multiply
    10,773.16x = 14,865.78 × 6,580.60
  4. Step 4: Simplify right side
    10,773.16x = 97,825,751.87
  5. Step 5: Solve for x
    x = 97,825,751.87/10,773.16
  6. Step 6: Final answer
    x = 9,080.51

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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.