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Finding the Fourth Proportional to 10,784.68, 16,165.50 and 7,697.32

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Solution

The fourth proportional to 10,784.68, 16,165.50 and 7,697.32 is: 11,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.68 : 16,165.50 = 7,697.32 : x
  2. Step 2: Convert to fraction form
    10,784.68/16,165.50 = 7,697.32/x
  3. Step 3: Cross multiply
    10,784.68x = 16,165.50 × 7,697.32
  4. Step 4: Simplify right side
    10,784.68x = 124,431,026.46
  5. Step 5: Solve for x
    x = 124,431,026.46/10,784.68
  6. Step 6: Final answer
    x = 11,537.76

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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.