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Finding the Fourth Proportional to 11,609.17, 17,417.55 and 3,713.02

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Solution

The fourth proportional to 11,609.17, 17,417.55 and 3,713.02 is: 5,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.17 : 17,417.55 = 3,713.02 : x
  2. Step 2: Convert to fraction form
    11,609.17/17,417.55 = 3,713.02/x
  3. Step 3: Cross multiply
    11,609.17x = 17,417.55 × 3,713.02
  4. Step 4: Simplify right side
    11,609.17x = 64,671,711.50
  5. Step 5: Solve for x
    x = 64,671,711.50/11,609.17
  6. Step 6: Final answer
    x = 5,570.74

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Why These Related Problems?

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