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Finding the Fourth Proportional to 7,446.84, 11,154.60 and 3,547.32

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Solution

The fourth proportional to 7,446.84, 11,154.60 and 3,547.32 is: 5,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.84 : 11,154.60 = 3,547.32 : x
  2. Step 2: Convert to fraction form
    7,446.84/11,154.60 = 3,547.32/x
  3. Step 3: Cross multiply
    7,446.84x = 11,154.60 × 3,547.32
  4. Step 4: Simplify right side
    7,446.84x = 39,568,935.67
  5. Step 5: Solve for x
    x = 39,568,935.67/7,446.84
  6. Step 6: Final answer
    x = 5,313.52

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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.