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Finding the Fourth Proportional to 6,188.30, 8,551.16 and 4,506.77

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Solution

The fourth proportional to 6,188.30, 8,551.16 and 4,506.77 is: 6,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.30 : 8,551.16 = 4,506.77 : x
  2. Step 2: Convert to fraction form
    6,188.30/8,551.16 = 4,506.77/x
  3. Step 3: Cross multiply
    6,188.30x = 8,551.16 × 4,506.77
  4. Step 4: Simplify right side
    6,188.30x = 38,538,127.10
  5. Step 5: Solve for x
    x = 38,538,127.10/6,188.30
  6. Step 6: Final answer
    x = 6,227.58

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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.