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Finding the Fourth Proportional to 7,645.83, 11,472.54 and 2,969.07

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Solution

The fourth proportional to 7,645.83, 11,472.54 and 2,969.07 is: 4,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.83 : 11,472.54 = 2,969.07 : x
  2. Step 2: Convert to fraction form
    7,645.83/11,472.54 = 2,969.07/x
  3. Step 3: Cross multiply
    7,645.83x = 11,472.54 × 2,969.07
  4. Step 4: Simplify right side
    7,645.83x = 34,062,774.34
  5. Step 5: Solve for x
    x = 34,062,774.34/7,645.83
  6. Step 6: Final answer
    x = 4,455.08

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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.