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Finding the Fourth Proportional to 10,066.81, 13,898.78 and 6,540.07

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Solution

The fourth proportional to 10,066.81, 13,898.78 and 6,540.07 is: 9,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.81 : 13,898.78 = 6,540.07 : x
  2. Step 2: Convert to fraction form
    10,066.81/13,898.78 = 6,540.07/x
  3. Step 3: Cross multiply
    10,066.81x = 13,898.78 × 6,540.07
  4. Step 4: Simplify right side
    10,066.81x = 90,898,994.11
  5. Step 5: Solve for x
    x = 90,898,994.11/10,066.81
  6. Step 6: Final answer
    x = 9,029.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.