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Finding the Fourth Proportional to 7,538.06, 11,300.31 and 4,026.51

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Solution

The fourth proportional to 7,538.06, 11,300.31 and 4,026.51 is: 6,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.06 : 11,300.31 = 4,026.51 : x
  2. Step 2: Convert to fraction form
    7,538.06/11,300.31 = 4,026.51/x
  3. Step 3: Cross multiply
    7,538.06x = 11,300.31 × 4,026.51
  4. Step 4: Simplify right side
    7,538.06x = 45,500,811.22
  5. Step 5: Solve for x
    x = 45,500,811.22/7,538.06
  6. Step 6: Final answer
    x = 6,036.14

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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.