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Finding the Fourth Proportional to 6,477.56, 8,940.50 and 4,587.15

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Solution

The fourth proportional to 6,477.56, 8,940.50 and 4,587.15 is: 6,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.56 : 8,940.50 = 4,587.15 : x
  2. Step 2: Convert to fraction form
    6,477.56/8,940.50 = 4,587.15/x
  3. Step 3: Cross multiply
    6,477.56x = 8,940.50 × 4,587.15
  4. Step 4: Simplify right side
    6,477.56x = 41,011,391.64
  5. Step 5: Solve for x
    x = 41,011,391.64/6,477.56
  6. Step 6: Final answer
    x = 6,331.31

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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.