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Finding the Fourth Proportional to 10,653.97, 14,702.19 and 6,116.52

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Solution

The fourth proportional to 10,653.97, 14,702.19 and 6,116.52 is: 8,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.97 : 14,702.19 = 6,116.52 : x
  2. Step 2: Convert to fraction form
    10,653.97/14,702.19 = 6,116.52/x
  3. Step 3: Cross multiply
    10,653.97x = 14,702.19 × 6,116.52
  4. Step 4: Simplify right side
    10,653.97x = 89,926,135.09
  5. Step 5: Solve for x
    x = 89,926,135.09/10,653.97
  6. Step 6: Final answer
    x = 8,440.63

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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.