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Finding the Fourth Proportional to 7,769.61, 10,721.57 and 4,412.16

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Solution

The fourth proportional to 7,769.61, 10,721.57 and 4,412.16 is: 6,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.61 : 10,721.57 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    7,769.61/10,721.57 = 4,412.16/x
  3. Step 3: Cross multiply
    7,769.61x = 10,721.57 × 4,412.16
  4. Step 4: Simplify right side
    7,769.61x = 47,305,260.23
  5. Step 5: Solve for x
    x = 47,305,260.23/7,769.61
  6. Step 6: Final answer
    x = 6,088.50

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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.