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Finding the Fourth Proportional to 7,723.34, 10,659.97 and 4,537

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Solution

The fourth proportional to 7,723.34, 10,659.97 and 4,537 is: 6,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.34 : 10,659.97 = 4,537 : x
  2. Step 2: Convert to fraction form
    7,723.34/10,659.97 = 4,537/x
  3. Step 3: Cross multiply
    7,723.34x = 10,659.97 × 4,537
  4. Step 4: Simplify right side
    7,723.34x = 48,364,283.89
  5. Step 5: Solve for x
    x = 48,364,283.89/7,723.34
  6. Step 6: Final answer
    x = 6,262.09

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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.