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Finding the Fourth Proportional to 7,769.14, 10,721 and 4,411.86

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Solution

The fourth proportional to 7,769.14, 10,721 and 4,411.86 is: 6,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.14 : 10,721 = 4,411.86 : x
  2. Step 2: Convert to fraction form
    7,769.14/10,721 = 4,411.86/x
  3. Step 3: Cross multiply
    7,769.14x = 10,721 × 4,411.86
  4. Step 4: Simplify right side
    7,769.14x = 47,299,551.06
  5. Step 5: Solve for x
    x = 47,299,551.06/7,769.14
  6. Step 6: Final answer
    x = 6,088.13

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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.