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Finding the Fourth Proportional to 11,530.46, 15,912.35 and 7,054.13

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Solution

The fourth proportional to 11,530.46, 15,912.35 and 7,054.13 is: 9,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.46 : 15,912.35 = 7,054.13 : x
  2. Step 2: Convert to fraction form
    11,530.46/15,912.35 = 7,054.13/x
  3. Step 3: Cross multiply
    11,530.46x = 15,912.35 × 7,054.13
  4. Step 4: Simplify right side
    11,530.46x = 112,247,785.51
  5. Step 5: Solve for x
    x = 112,247,785.51/11,530.46
  6. Step 6: Final answer
    x = 9,734.89

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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.