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Finding the Fourth Proportional to 10,065.66, 13,864.53 and 8,470.36

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Solution

The fourth proportional to 10,065.66, 13,864.53 and 8,470.36 is: 11,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.66 : 13,864.53 = 8,470.36 : x
  2. Step 2: Convert to fraction form
    10,065.66/13,864.53 = 8,470.36/x
  3. Step 3: Cross multiply
    10,065.66x = 13,864.53 × 8,470.36
  4. Step 4: Simplify right side
    10,065.66x = 117,437,560.33
  5. Step 5: Solve for x
    x = 117,437,560.33/10,065.66
  6. Step 6: Final answer
    x = 11,667.15

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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.