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Finding the Fourth Proportional to 7,700.12, 10,627.98 and 4,904

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Solution

The fourth proportional to 7,700.12, 10,627.98 and 4,904 is: 6,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.12 : 10,627.98 = 4,904 : x
  2. Step 2: Convert to fraction form
    7,700.12/10,627.98 = 4,904/x
  3. Step 3: Cross multiply
    7,700.12x = 10,627.98 × 4,904
  4. Step 4: Simplify right side
    7,700.12x = 52,119,613.92
  5. Step 5: Solve for x
    x = 52,119,613.92/7,700.12
  6. Step 6: Final answer
    x = 6,768.68

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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.