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Finding the Fourth Proportional to 7,627.84, 10,527.51 and 4,644.34

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Solution

The fourth proportional to 7,627.84, 10,527.51 and 4,644.34 is: 6,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.84 : 10,527.51 = 4,644.34 : x
  2. Step 2: Convert to fraction form
    7,627.84/10,527.51 = 4,644.34/x
  3. Step 3: Cross multiply
    7,627.84x = 10,527.51 × 4,644.34
  4. Step 4: Simplify right side
    7,627.84x = 48,893,335.79
  5. Step 5: Solve for x
    x = 48,893,335.79/7,627.84
  6. Step 6: Final answer
    x = 6,409.85

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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.