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Finding the Fourth Proportional to 10,657.12, 14,724.88 and 7,667.04

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Solution

The fourth proportional to 10,657.12, 14,724.88 and 7,667.04 is: 10,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.12 : 14,724.88 = 7,667.04 : x
  2. Step 2: Convert to fraction form
    10,657.12/14,724.88 = 7,667.04/x
  3. Step 3: Cross multiply
    10,657.12x = 14,724.88 × 7,667.04
  4. Step 4: Simplify right side
    10,657.12x = 112,896,243.96
  5. Step 5: Solve for x
    x = 112,896,243.96/10,657.12
  6. Step 6: Final answer
    x = 10,593.50

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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.