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Finding the Fourth Proportional to 10,702.35, 14,765.65 and 6,222.45

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Solution

The fourth proportional to 10,702.35, 14,765.65 and 6,222.45 is: 8,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.35 : 14,765.65 = 6,222.45 : x
  2. Step 2: Convert to fraction form
    10,702.35/14,765.65 = 6,222.45/x
  3. Step 3: Cross multiply
    10,702.35x = 14,765.65 × 6,222.45
  4. Step 4: Simplify right side
    10,702.35x = 91,878,471.25
  5. Step 5: Solve for x
    x = 91,878,471.25/10,702.35
  6. Step 6: Final answer
    x = 8,584.88

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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.