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Finding the Fourth Proportional to 7,726.53, 10,664.67 and 4,743.57

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Solution

The fourth proportional to 7,726.53, 10,664.67 and 4,743.57 is: 6,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.53 : 10,664.67 = 4,743.57 : x
  2. Step 2: Convert to fraction form
    7,726.53/10,664.67 = 4,743.57/x
  3. Step 3: Cross multiply
    7,726.53x = 10,664.67 × 4,743.57
  4. Step 4: Simplify right side
    7,726.53x = 50,588,608.67
  5. Step 5: Solve for x
    x = 50,588,608.67/7,726.53
  6. Step 6: Final answer
    x = 6,547.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.