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Finding the Fourth Proportional to 10,170.25, 14,030.65 and 6,814.15

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Solution

The fourth proportional to 10,170.25, 14,030.65 and 6,814.15 is: 9,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.25 : 14,030.65 = 6,814.15 : x
  2. Step 2: Convert to fraction form
    10,170.25/14,030.65 = 6,814.15/x
  3. Step 3: Cross multiply
    10,170.25x = 14,030.65 × 6,814.15
  4. Step 4: Simplify right side
    10,170.25x = 95,606,953.70
  5. Step 5: Solve for x
    x = 95,606,953.70/10,170.25
  6. Step 6: Final answer
    x = 9,400.65

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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.