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Finding the Fourth Proportional to 11,607.95, 16,018.52 and 6,302.64

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Solution

The fourth proportional to 11,607.95, 16,018.52 and 6,302.64 is: 8,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.95 : 16,018.52 = 6,302.64 : x
  2. Step 2: Convert to fraction form
    11,607.95/16,018.52 = 6,302.64/x
  3. Step 3: Cross multiply
    11,607.95x = 16,018.52 × 6,302.64
  4. Step 4: Simplify right side
    11,607.95x = 100,958,933.38
  5. Step 5: Solve for x
    x = 100,958,933.38/11,607.95
  6. Step 6: Final answer
    x = 8,697.40

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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.