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Finding the Fourth Proportional to 10,684.56, 14,751 and 7,708.08

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Solution

The fourth proportional to 10,684.56, 14,751 and 7,708.08 is: 10,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.56 : 14,751 = 7,708.08 : x
  2. Step 2: Convert to fraction form
    10,684.56/14,751 = 7,708.08/x
  3. Step 3: Cross multiply
    10,684.56x = 14,751 × 7,708.08
  4. Step 4: Simplify right side
    10,684.56x = 113,701,888.08
  5. Step 5: Solve for x
    x = 113,701,888.08/10,684.56
  6. Step 6: Final answer
    x = 10,641.70

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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.