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Finding the Fourth Proportional to 7,482.16, 11,217.12 and 3,097.24

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Solution

The fourth proportional to 7,482.16, 11,217.12 and 3,097.24 is: 4,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.16 : 11,217.12 = 3,097.24 : x
  2. Step 2: Convert to fraction form
    7,482.16/11,217.12 = 3,097.24/x
  3. Step 3: Cross multiply
    7,482.16x = 11,217.12 × 3,097.24
  4. Step 4: Simplify right side
    7,482.16x = 34,742,112.75
  5. Step 5: Solve for x
    x = 34,742,112.75/7,482.16
  6. Step 6: Final answer
    x = 4,643.33

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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.