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Finding the Fourth Proportional to 10,678.24, 14,737.72 and 6,204.88

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Solution

The fourth proportional to 10,678.24, 14,737.72 and 6,204.88 is: 8,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.24 : 14,737.72 = 6,204.88 : x
  2. Step 2: Convert to fraction form
    10,678.24/14,737.72 = 6,204.88/x
  3. Step 3: Cross multiply
    10,678.24x = 14,737.72 × 6,204.88
  4. Step 4: Simplify right side
    10,678.24x = 91,445,784.07
  5. Step 5: Solve for x
    x = 91,445,784.07/10,678.24
  6. Step 6: Final answer
    x = 8,563.75

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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.