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Finding the Fourth Proportional to 7,008.86, 9,672.29 and 4,356.38

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Solution

The fourth proportional to 7,008.86, 9,672.29 and 4,356.38 is: 6,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.86 : 9,672.29 = 4,356.38 : x
  2. Step 2: Convert to fraction form
    7,008.86/9,672.29 = 4,356.38/x
  3. Step 3: Cross multiply
    7,008.86x = 9,672.29 × 4,356.38
  4. Step 4: Simplify right side
    7,008.86x = 42,136,170.71
  5. Step 5: Solve for x
    x = 42,136,170.71/7,008.86
  6. Step 6: Final answer
    x = 6,011.84

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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.