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Finding the Fourth Proportional to 10,643.56, 14,673 and 7,658.44

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Solution

The fourth proportional to 10,643.56, 14,673 and 7,658.44 is: 10,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.56 : 14,673 = 7,658.44 : x
  2. Step 2: Convert to fraction form
    10,643.56/14,673 = 7,658.44/x
  3. Step 3: Cross multiply
    10,643.56x = 14,673 × 7,658.44
  4. Step 4: Simplify right side
    10,643.56x = 112,372,290.12
  5. Step 5: Solve for x
    x = 112,372,290.12/10,643.56
  6. Step 6: Final answer
    x = 10,557.77

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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.