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Finding the Fourth Proportional to 8,574, 11,832.84 and 5,429.04

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Solution

The fourth proportional to 8,574, 11,832.84 and 5,429.04 is: 7,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 11,832.84 = 5,429.04 : x
  2. Step 2: Convert to fraction form
    8,574/11,832.84 = 5,429.04/x
  3. Step 3: Cross multiply
    8,574x = 11,832.84 × 5,429.04
  4. Step 4: Simplify right side
    8,574x = 64,240,961.67
  5. Step 5: Solve for x
    x = 64,240,961.67/8,574
  6. Step 6: Final answer
    x = 7,492.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.