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Finding the Fourth Proportional to 6,542.53, 9,810.08 and 4,465.05

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Solution

The fourth proportional to 6,542.53, 9,810.08 and 4,465.05 is: 6,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.53 : 9,810.08 = 4,465.05 : x
  2. Step 2: Convert to fraction form
    6,542.53/9,810.08 = 4,465.05/x
  3. Step 3: Cross multiply
    6,542.53x = 9,810.08 × 4,465.05
  4. Step 4: Simplify right side
    6,542.53x = 43,802,533.73
  5. Step 5: Solve for x
    x = 43,802,533.73/6,542.53
  6. Step 6: Final answer
    x = 6,695.04

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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.