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Finding the Fourth Proportional to 7,405.36, 11,109.76 and 6,589.76

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Solution

The fourth proportional to 7,405.36, 11,109.76 and 6,589.76 is: 9,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.36 : 11,109.76 = 6,589.76 : x
  2. Step 2: Convert to fraction form
    7,405.36/11,109.76 = 6,589.76/x
  3. Step 3: Cross multiply
    7,405.36x = 11,109.76 × 6,589.76
  4. Step 4: Simplify right side
    7,405.36x = 73,210,652.06
  5. Step 5: Solve for x
    x = 73,210,652.06/7,405.36
  6. Step 6: Final answer
    x = 9,886.17

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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.