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Finding the Fourth Proportional to 6,348.53, 8,758.06 and 4,111.16

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Solution

The fourth proportional to 6,348.53, 8,758.06 and 4,111.16 is: 5,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.53 : 8,758.06 = 4,111.16 : x
  2. Step 2: Convert to fraction form
    6,348.53/8,758.06 = 4,111.16/x
  3. Step 3: Cross multiply
    6,348.53x = 8,758.06 × 4,111.16
  4. Step 4: Simplify right side
    6,348.53x = 36,005,731.88
  5. Step 5: Solve for x
    x = 36,005,731.88/6,348.53
  6. Step 6: Final answer
    x = 5,671.50

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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.