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Finding the Fourth Proportional to 10,710.64, 14,773.71 and 6,728.23

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Solution

The fourth proportional to 10,710.64, 14,773.71 and 6,728.23 is: 9,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.64 : 14,773.71 = 6,728.23 : x
  2. Step 2: Convert to fraction form
    10,710.64/14,773.71 = 6,728.23/x
  3. Step 3: Cross multiply
    10,710.64x = 14,773.71 × 6,728.23
  4. Step 4: Simplify right side
    10,710.64x = 99,400,918.83
  5. Step 5: Solve for x
    x = 99,400,918.83/10,710.64
  6. Step 6: Final answer
    x = 9,280.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.