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Finding the Fourth Proportional to 10,702.22, 14,783.19 and 8,215.07

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Solution

The fourth proportional to 10,702.22, 14,783.19 and 8,215.07 is: 11,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.22 : 14,783.19 = 8,215.07 : x
  2. Step 2: Convert to fraction form
    10,702.22/14,783.19 = 8,215.07/x
  3. Step 3: Cross multiply
    10,702.22x = 14,783.19 × 8,215.07
  4. Step 4: Simplify right side
    10,702.22x = 121,444,883.18
  5. Step 5: Solve for x
    x = 121,444,883.18/10,702.22
  6. Step 6: Final answer
    x = 11,347.63

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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.