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Finding the Fourth Proportional to 7,346.88, 11,009.52 and 5,790.69

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Solution

The fourth proportional to 7,346.88, 11,009.52 and 5,790.69 is: 8,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.88 : 11,009.52 = 5,790.69 : x
  2. Step 2: Convert to fraction form
    7,346.88/11,009.52 = 5,790.69/x
  3. Step 3: Cross multiply
    7,346.88x = 11,009.52 × 5,790.69
  4. Step 4: Simplify right side
    7,346.88x = 63,752,717.37
  5. Step 5: Solve for x
    x = 63,752,717.37/7,346.88
  6. Step 6: Final answer
    x = 8,677.52

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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.