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Finding the Fourth Proportional to 13,775.01, 19,009.58 and 8,110

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Solution

The fourth proportional to 13,775.01, 19,009.58 and 8,110 is: 11,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.01 : 19,009.58 = 8,110 : x
  2. Step 2: Convert to fraction form
    13,775.01/19,009.58 = 8,110/x
  3. Step 3: Cross multiply
    13,775.01x = 19,009.58 × 8,110
  4. Step 4: Simplify right side
    13,775.01x = 154,167,693.80
  5. Step 5: Solve for x
    x = 154,167,693.80/13,775.01
  6. Step 6: Final answer
    x = 11,191.84

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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.