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Finding the Fourth Proportional to 11,464.71, 15,821.36 and 7,483.47

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Solution

The fourth proportional to 11,464.71, 15,821.36 and 7,483.47 is: 10,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.71 : 15,821.36 = 7,483.47 : x
  2. Step 2: Convert to fraction form
    11,464.71/15,821.36 = 7,483.47/x
  3. Step 3: Cross multiply
    11,464.71x = 15,821.36 × 7,483.47
  4. Step 4: Simplify right side
    11,464.71x = 118,398,635.50
  5. Step 5: Solve for x
    x = 118,398,635.50/11,464.71
  6. Step 6: Final answer
    x = 10,327.22

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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.