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Finding the Fourth Proportional to 8,300.04, 11,465.24 and 7,709.55

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Solution

The fourth proportional to 8,300.04, 11,465.24 and 7,709.55 is: 10,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.04 : 11,465.24 = 7,709.55 : x
  2. Step 2: Convert to fraction form
    8,300.04/11,465.24 = 7,709.55/x
  3. Step 3: Cross multiply
    8,300.04x = 11,465.24 × 7,709.55
  4. Step 4: Simplify right side
    8,300.04x = 88,391,802.49
  5. Step 5: Solve for x
    x = 88,391,802.49/8,300.04
  6. Step 6: Final answer
    x = 10,649.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.