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Finding the Fourth Proportional to 6,533.52, 9,812.89 and 5,598.57

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Solution

The fourth proportional to 6,533.52, 9,812.89 and 5,598.57 is: 8,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.52 : 9,812.89 = 5,598.57 : x
  2. Step 2: Convert to fraction form
    6,533.52/9,812.89 = 5,598.57/x
  3. Step 3: Cross multiply
    6,533.52x = 9,812.89 × 5,598.57
  4. Step 4: Simplify right side
    6,533.52x = 54,938,151.57
  5. Step 5: Solve for x
    x = 54,938,151.57/6,533.52
  6. Step 6: Final answer
    x = 8,408.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.