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Finding the Fourth Proportional to 7,364.16, 11,046.24 and 4,284

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Solution

The fourth proportional to 7,364.16, 11,046.24 and 4,284 is: 6,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.16 : 11,046.24 = 4,284 : x
  2. Step 2: Convert to fraction form
    7,364.16/11,046.24 = 4,284/x
  3. Step 3: Cross multiply
    7,364.16x = 11,046.24 × 4,284
  4. Step 4: Simplify right side
    7,364.16x = 47,322,092.16
  5. Step 5: Solve for x
    x = 47,322,092.16/7,364.16
  6. Step 6: Final answer
    x = 6,426

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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.