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Finding the Fourth Proportional to 10,038.23, 13,853.53 and 6,261.50

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Solution

The fourth proportional to 10,038.23, 13,853.53 and 6,261.50 is: 8,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.23 : 13,853.53 = 6,261.50 : x
  2. Step 2: Convert to fraction form
    10,038.23/13,853.53 = 6,261.50/x
  3. Step 3: Cross multiply
    10,038.23x = 13,853.53 × 6,261.50
  4. Step 4: Simplify right side
    10,038.23x = 86,743,920.56
  5. Step 5: Solve for x
    x = 86,743,920.56/10,038.23
  6. Step 6: Final answer
    x = 8,641.36

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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.