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Finding the Fourth Proportional to 11,652.18, 17,461.80 and 5,414.10

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Solution

The fourth proportional to 11,652.18, 17,461.80 and 5,414.10 is: 8,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.18 : 17,461.80 = 5,414.10 : x
  2. Step 2: Convert to fraction form
    11,652.18/17,461.80 = 5,414.10/x
  3. Step 3: Cross multiply
    11,652.18x = 17,461.80 × 5,414.10
  4. Step 4: Simplify right side
    11,652.18x = 94,539,931.38
  5. Step 5: Solve for x
    x = 94,539,931.38/11,652.18
  6. Step 6: Final answer
    x = 8,113.50

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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.