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Finding the Fourth Proportional to 11,666.35, 17,455.78 and 6,475.87

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Solution

The fourth proportional to 11,666.35, 17,455.78 and 6,475.87 is: 9,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.35 : 17,455.78 = 6,475.87 : x
  2. Step 2: Convert to fraction form
    11,666.35/17,455.78 = 6,475.87/x
  3. Step 3: Cross multiply
    11,666.35x = 17,455.78 × 6,475.87
  4. Step 4: Simplify right side
    11,666.35x = 113,041,362.03
  5. Step 5: Solve for x
    x = 113,041,362.03/11,666.35
  6. Step 6: Final answer
    x = 9,689.52

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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.