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Finding the Fourth Proportional to 11,598.07, 16,000.95 and 8,580.40

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Solution

The fourth proportional to 11,598.07, 16,000.95 and 8,580.40 is: 11,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.07 : 16,000.95 = 8,580.40 : x
  2. Step 2: Convert to fraction form
    11,598.07/16,000.95 = 8,580.40/x
  3. Step 3: Cross multiply
    11,598.07x = 16,000.95 × 8,580.40
  4. Step 4: Simplify right side
    11,598.07x = 137,294,551.38
  5. Step 5: Solve for x
    x = 137,294,551.38/11,598.07
  6. Step 6: Final answer
    x = 11,837.71

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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.