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Finding the Fourth Proportional to 7,767.66, 10,721.16 and 4,743.81

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Solution

The fourth proportional to 7,767.66, 10,721.16 and 4,743.81 is: 6,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.66 : 10,721.16 = 4,743.81 : x
  2. Step 2: Convert to fraction form
    7,767.66/10,721.16 = 4,743.81/x
  3. Step 3: Cross multiply
    7,767.66x = 10,721.16 × 4,743.81
  4. Step 4: Simplify right side
    7,767.66x = 50,859,146.02
  5. Step 5: Solve for x
    x = 50,859,146.02/7,767.66
  6. Step 6: Final answer
    x = 6,547.55

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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.