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Finding the Fourth Proportional to 8,283.04, 11,430.48 and 5,493.76

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Solution

The fourth proportional to 8,283.04, 11,430.48 and 5,493.76 is: 7,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.04 : 11,430.48 = 5,493.76 : x
  2. Step 2: Convert to fraction form
    8,283.04/11,430.48 = 5,493.76/x
  3. Step 3: Cross multiply
    8,283.04x = 11,430.48 × 5,493.76
  4. Step 4: Simplify right side
    8,283.04x = 62,796,313.80
  5. Step 5: Solve for x
    x = 62,796,313.80/8,283.04
  6. Step 6: Final answer
    x = 7,581.31

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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.