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Finding the Fourth Proportional to 10,657.62, 14,689.89 and 7,119.54

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Solution

The fourth proportional to 10,657.62, 14,689.89 and 7,119.54 is: 9,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.62 : 14,689.89 = 7,119.54 : x
  2. Step 2: Convert to fraction form
    10,657.62/14,689.89 = 7,119.54/x
  3. Step 3: Cross multiply
    10,657.62x = 14,689.89 × 7,119.54
  4. Step 4: Simplify right side
    10,657.62x = 104,585,259.45
  5. Step 5: Solve for x
    x = 104,585,259.45/10,657.62
  6. Step 6: Final answer
    x = 9,813.19

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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.