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Finding the Fourth Proportional to 10,702.76, 16,054.23 and 3,307.19

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Solution

The fourth proportional to 10,702.76, 16,054.23 and 3,307.19 is: 4,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.76 : 16,054.23 = 3,307.19 : x
  2. Step 2: Convert to fraction form
    10,702.76/16,054.23 = 3,307.19/x
  3. Step 3: Cross multiply
    10,702.76x = 16,054.23 × 3,307.19
  4. Step 4: Simplify right side
    10,702.76x = 53,094,388.91
  5. Step 5: Solve for x
    x = 53,094,388.91/10,702.76
  6. Step 6: Final answer
    x = 4,960.81

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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.