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Finding the Fourth Proportional to 7,032.69, 10,557.18 and 4,113.09

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Solution

The fourth proportional to 7,032.69, 10,557.18 and 4,113.09 is: 6,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.69 : 10,557.18 = 4,113.09 : x
  2. Step 2: Convert to fraction form
    7,032.69/10,557.18 = 4,113.09/x
  3. Step 3: Cross multiply
    7,032.69x = 10,557.18 × 4,113.09
  4. Step 4: Simplify right side
    7,032.69x = 43,422,631.49
  5. Step 5: Solve for x
    x = 43,422,631.49/7,032.69
  6. Step 6: Final answer
    x = 6,174.40

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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.