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Finding the Fourth Proportional to 11,294.82, 15,586.34 and 6,259.26

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Solution

The fourth proportional to 11,294.82, 15,586.34 and 6,259.26 is: 8,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.82 : 15,586.34 = 6,259.26 : x
  2. Step 2: Convert to fraction form
    11,294.82/15,586.34 = 6,259.26/x
  3. Step 3: Cross multiply
    11,294.82x = 15,586.34 × 6,259.26
  4. Step 4: Simplify right side
    11,294.82x = 97,558,954.51
  5. Step 5: Solve for x
    x = 97,558,954.51/11,294.82
  6. Step 6: Final answer
    x = 8,637.50

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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.