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Finding the Fourth Proportional to 11,530.32, 15,912.75 and 6,815.51

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Solution

The fourth proportional to 11,530.32, 15,912.75 and 6,815.51 is: 9,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.32 : 15,912.75 = 6,815.51 : x
  2. Step 2: Convert to fraction form
    11,530.32/15,912.75 = 6,815.51/x
  3. Step 3: Cross multiply
    11,530.32x = 15,912.75 × 6,815.51
  4. Step 4: Simplify right side
    11,530.32x = 108,453,427.19
  5. Step 5: Solve for x
    x = 108,453,427.19/11,530.32
  6. Step 6: Final answer
    x = 9,405.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.