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Finding the Fourth Proportional to 10,563.96, 14,584.02 and 7,211.76

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Solution

The fourth proportional to 10,563.96, 14,584.02 and 7,211.76 is: 9,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.96 : 14,584.02 = 7,211.76 : x
  2. Step 2: Convert to fraction form
    10,563.96/14,584.02 = 7,211.76/x
  3. Step 3: Cross multiply
    10,563.96x = 14,584.02 × 7,211.76
  4. Step 4: Simplify right side
    10,563.96x = 105,176,452.08
  5. Step 5: Solve for x
    x = 105,176,452.08/10,563.96
  6. Step 6: Final answer
    x = 9,956.16

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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.