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Finding the Fourth Proportional to 10,192.66, 15,267.39 and 7,700.02

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Solution

The fourth proportional to 10,192.66, 15,267.39 and 7,700.02 is: 11,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.66 : 15,267.39 = 7,700.02 : x
  2. Step 2: Convert to fraction form
    10,192.66/15,267.39 = 7,700.02/x
  3. Step 3: Cross multiply
    10,192.66x = 15,267.39 × 7,700.02
  4. Step 4: Simplify right side
    10,192.66x = 117,559,208.35
  5. Step 5: Solve for x
    x = 117,559,208.35/10,192.66
  6. Step 6: Final answer
    x = 11,533.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.