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Finding the Fourth Proportional to 7,460.69, 10,296 and 4,437.41

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Solution

The fourth proportional to 7,460.69, 10,296 and 4,437.41 is: 6,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.69 : 10,296 = 4,437.41 : x
  2. Step 2: Convert to fraction form
    7,460.69/10,296 = 4,437.41/x
  3. Step 3: Cross multiply
    7,460.69x = 10,296 × 4,437.41
  4. Step 4: Simplify right side
    7,460.69x = 45,687,521.88
  5. Step 5: Solve for x
    x = 45,687,521.88/7,460.69
  6. Step 6: Final answer
    x = 6,123.77

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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.