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Finding the Fourth Proportional to 10,184.14, 15,266.82 and 7,065.63

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Solution

The fourth proportional to 10,184.14, 15,266.82 and 7,065.63 is: 10,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.14 : 15,266.82 = 7,065.63 : x
  2. Step 2: Convert to fraction form
    10,184.14/15,266.82 = 7,065.63/x
  3. Step 3: Cross multiply
    10,184.14x = 15,266.82 × 7,065.63
  4. Step 4: Simplify right side
    10,184.14x = 107,869,701.40
  5. Step 5: Solve for x
    x = 107,869,701.40/10,184.14
  6. Step 6: Final answer
    x = 10,591.93

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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.