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Finding the Fourth Proportional to 11,666.71, 17,500.16 and 4,271.41

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Solution

The fourth proportional to 11,666.71, 17,500.16 and 4,271.41 is: 6,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.71 : 17,500.16 = 4,271.41 : x
  2. Step 2: Convert to fraction form
    11,666.71/17,500.16 = 4,271.41/x
  3. Step 3: Cross multiply
    11,666.71x = 17,500.16 × 4,271.41
  4. Step 4: Simplify right side
    11,666.71x = 74,750,358.43
  5. Step 5: Solve for x
    x = 74,750,358.43/11,666.71
  6. Step 6: Final answer
    x = 6,407.15

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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.