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Finding the Fourth Proportional to 7,364.16, 10,149.84 and 5,446.08

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Solution

The fourth proportional to 7,364.16, 10,149.84 and 5,446.08 is: 7,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.16 : 10,149.84 = 5,446.08 : x
  2. Step 2: Convert to fraction form
    7,364.16/10,149.84 = 5,446.08/x
  3. Step 3: Cross multiply
    7,364.16x = 10,149.84 × 5,446.08
  4. Step 4: Simplify right side
    7,364.16x = 55,276,840.63
  5. Step 5: Solve for x
    x = 55,276,840.63/7,364.16
  6. Step 6: Final answer
    x = 7,506.20

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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.