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Finding the Fourth Proportional to 6,702.61, 10,059.38 and 3,416.64

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Solution

The fourth proportional to 6,702.61, 10,059.38 and 3,416.64 is: 5,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.61 : 10,059.38 = 3,416.64 : x
  2. Step 2: Convert to fraction form
    6,702.61/10,059.38 = 3,416.64/x
  3. Step 3: Cross multiply
    6,702.61x = 10,059.38 × 3,416.64
  4. Step 4: Simplify right side
    6,702.61x = 34,369,280.08
  5. Step 5: Solve for x
    x = 34,369,280.08/6,702.61
  6. Step 6: Final answer
    x = 5,127.75

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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.