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Finding the Fourth Proportional to 8,024.70, 11,071.82 and 5,507.40

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Solution

The fourth proportional to 8,024.70, 11,071.82 and 5,507.40 is: 7,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.70 : 11,071.82 = 5,507.40 : x
  2. Step 2: Convert to fraction form
    8,024.70/11,071.82 = 5,507.40/x
  3. Step 3: Cross multiply
    8,024.70x = 11,071.82 × 5,507.40
  4. Step 4: Simplify right side
    8,024.70x = 60,976,941.47
  5. Step 5: Solve for x
    x = 60,976,941.47/8,024.70
  6. Step 6: Final answer
    x = 7,598.66

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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.