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Finding the Fourth Proportional to 10,702.60, 16,053.60 and 4,859.20

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Solution

The fourth proportional to 10,702.60, 16,053.60 and 4,859.20 is: 7,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.60 : 16,053.60 = 4,859.20 : x
  2. Step 2: Convert to fraction form
    10,702.60/16,053.60 = 4,859.20/x
  3. Step 3: Cross multiply
    10,702.60x = 16,053.60 × 4,859.20
  4. Step 4: Simplify right side
    10,702.60x = 78,007,653.12
  5. Step 5: Solve for x
    x = 78,007,653.12/10,702.60
  6. Step 6: Final answer
    x = 7,288.66

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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.