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Finding the Fourth Proportional to 6,702.77, 10,051.58 and 2,259.24

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Solution

The fourth proportional to 6,702.77, 10,051.58 and 2,259.24 is: 3,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.77 : 10,051.58 = 2,259.24 : x
  2. Step 2: Convert to fraction form
    6,702.77/10,051.58 = 2,259.24/x
  3. Step 3: Cross multiply
    6,702.77x = 10,051.58 × 2,259.24
  4. Step 4: Simplify right side
    6,702.77x = 22,708,937.25
  5. Step 5: Solve for x
    x = 22,708,937.25/6,702.77
  6. Step 6: Final answer
    x = 3,388.00

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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.