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Finding the Fourth Proportional to 10,009.40, 15,026.85 and 8,164.13

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Solution

The fourth proportional to 10,009.40, 15,026.85 and 8,164.13 is: 12,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.40 : 15,026.85 = 8,164.13 : x
  2. Step 2: Convert to fraction form
    10,009.40/15,026.85 = 8,164.13/x
  3. Step 3: Cross multiply
    10,009.40x = 15,026.85 × 8,164.13
  4. Step 4: Simplify right side
    10,009.40x = 122,681,081.76
  5. Step 5: Solve for x
    x = 122,681,081.76/10,009.40
  6. Step 6: Final answer
    x = 12,256.59

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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.