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Finding the Fourth Proportional to 6,899.94, 10,355.12 and 5,055.78

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Solution

The fourth proportional to 6,899.94, 10,355.12 and 5,055.78 is: 7,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.94 : 10,355.12 = 5,055.78 : x
  2. Step 2: Convert to fraction form
    6,899.94/10,355.12 = 5,055.78/x
  3. Step 3: Cross multiply
    6,899.94x = 10,355.12 × 5,055.78
  4. Step 4: Simplify right side
    6,899.94x = 52,353,208.59
  5. Step 5: Solve for x
    x = 52,353,208.59/6,899.94
  6. Step 6: Final answer
    x = 7,587.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.