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Finding the Fourth Proportional to 10,654.94, 14,703.52 and 6,678.25

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Solution

The fourth proportional to 10,654.94, 14,703.52 and 6,678.25 is: 9,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.94 : 14,703.52 = 6,678.25 : x
  2. Step 2: Convert to fraction form
    10,654.94/14,703.52 = 6,678.25/x
  3. Step 3: Cross multiply
    10,654.94x = 14,703.52 × 6,678.25
  4. Step 4: Simplify right side
    10,654.94x = 98,193,782.44
  5. Step 5: Solve for x
    x = 98,193,782.44/10,654.94
  6. Step 6: Final answer
    x = 9,215.80

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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.