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Finding the Fourth Proportional to 7,700.86, 10,626.42 and 4,717.54

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Solution

The fourth proportional to 7,700.86, 10,626.42 and 4,717.54 is: 6,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.86 : 10,626.42 = 4,717.54 : x
  2. Step 2: Convert to fraction form
    7,700.86/10,626.42 = 4,717.54/x
  3. Step 3: Cross multiply
    7,700.86x = 10,626.42 × 4,717.54
  4. Step 4: Simplify right side
    7,700.86x = 50,130,561.41
  5. Step 5: Solve for x
    x = 50,130,561.41/7,700.86
  6. Step 6: Final answer
    x = 6,509.74

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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.