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Finding the Fourth Proportional to 11,378.16, 17,069.04 and 4,806.24

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Solution

The fourth proportional to 11,378.16, 17,069.04 and 4,806.24 is: 7,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.16 : 17,069.04 = 4,806.24 : x
  2. Step 2: Convert to fraction form
    11,378.16/17,069.04 = 4,806.24/x
  3. Step 3: Cross multiply
    11,378.16x = 17,069.04 × 4,806.24
  4. Step 4: Simplify right side
    11,378.16x = 82,037,902.81
  5. Step 5: Solve for x
    x = 82,037,902.81/11,378.16
  6. Step 6: Final answer
    x = 7,210.12

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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.