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Finding the Fourth Proportional to 7,767.19, 10,718.80 and 4,230.43

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Solution

The fourth proportional to 7,767.19, 10,718.80 and 4,230.43 is: 5,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.19 : 10,718.80 = 4,230.43 : x
  2. Step 2: Convert to fraction form
    7,767.19/10,718.80 = 4,230.43/x
  3. Step 3: Cross multiply
    7,767.19x = 10,718.80 × 4,230.43
  4. Step 4: Simplify right side
    7,767.19x = 45,345,095.71
  5. Step 5: Solve for x
    x = 45,345,095.71/7,767.19
  6. Step 6: Final answer
    x = 5,838.03

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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.