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Finding the Fourth Proportional to 10,069.58, 15,082.47 and 4,864.50

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Solution

The fourth proportional to 10,069.58, 15,082.47 and 4,864.50 is: 7,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.58 : 15,082.47 = 4,864.50 : x
  2. Step 2: Convert to fraction form
    10,069.58/15,082.47 = 4,864.50/x
  3. Step 3: Cross multiply
    10,069.58x = 15,082.47 × 4,864.50
  4. Step 4: Simplify right side
    10,069.58x = 73,368,675.32
  5. Step 5: Solve for x
    x = 73,368,675.32/10,069.58
  6. Step 6: Final answer
    x = 7,286.17

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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.