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Finding the Fourth Proportional to 7,649.66, 10,557.34 and 4,293.38

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Solution

The fourth proportional to 7,649.66, 10,557.34 and 4,293.38 is: 5,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.66 : 10,557.34 = 4,293.38 : x
  2. Step 2: Convert to fraction form
    7,649.66/10,557.34 = 4,293.38/x
  3. Step 3: Cross multiply
    7,649.66x = 10,557.34 × 4,293.38
  4. Step 4: Simplify right side
    7,649.66x = 45,326,672.41
  5. Step 5: Solve for x
    x = 45,326,672.41/7,649.66
  6. Step 6: Final answer
    x = 5,925.32

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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.