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Finding the Fourth Proportional to 7,748.14, 10,682.08 and 6,160.06

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Solution

The fourth proportional to 7,748.14, 10,682.08 and 6,160.06 is: 8,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.14 : 10,682.08 = 6,160.06 : x
  2. Step 2: Convert to fraction form
    7,748.14/10,682.08 = 6,160.06/x
  3. Step 3: Cross multiply
    7,748.14x = 10,682.08 × 6,160.06
  4. Step 4: Simplify right side
    7,748.14x = 65,802,253.72
  5. Step 5: Solve for x
    x = 65,802,253.72/7,748.14
  6. Step 6: Final answer
    x = 8,492.65

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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.