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Finding the Fourth Proportional to 10,702.64, 16,054.80 and 2,911.28

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Solution

The fourth proportional to 10,702.64, 16,054.80 and 2,911.28 is: 4,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.64 : 16,054.80 = 2,911.28 : x
  2. Step 2: Convert to fraction form
    10,702.64/16,054.80 = 2,911.28/x
  3. Step 3: Cross multiply
    10,702.64x = 16,054.80 × 2,911.28
  4. Step 4: Simplify right side
    10,702.64x = 46,740,018.14
  5. Step 5: Solve for x
    x = 46,740,018.14/10,702.64
  6. Step 6: Final answer
    x = 4,367.15

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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.