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Finding the Fourth Proportional to 11,407.09, 15,742.31 and 6,303.33

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Solution

The fourth proportional to 11,407.09, 15,742.31 and 6,303.33 is: 8,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.09 : 15,742.31 = 6,303.33 : x
  2. Step 2: Convert to fraction form
    11,407.09/15,742.31 = 6,303.33/x
  3. Step 3: Cross multiply
    11,407.09x = 15,742.31 × 6,303.33
  4. Step 4: Simplify right side
    11,407.09x = 99,228,974.89
  5. Step 5: Solve for x
    x = 99,228,974.89/11,407.09
  6. Step 6: Final answer
    x = 8,698.89

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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.