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Finding the Fourth Proportional to 11,263.31, 15,537.21 and 6,784.34

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Solution

The fourth proportional to 11,263.31, 15,537.21 and 6,784.34 is: 9,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.31 : 15,537.21 = 6,784.34 : x
  2. Step 2: Convert to fraction form
    11,263.31/15,537.21 = 6,784.34/x
  3. Step 3: Cross multiply
    11,263.31x = 15,537.21 × 6,784.34
  4. Step 4: Simplify right side
    11,263.31x = 105,409,637.61
  5. Step 5: Solve for x
    x = 105,409,637.61/11,263.31
  6. Step 6: Final answer
    x = 9,358.68

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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.