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Finding the Fourth Proportional to 10,653.94, 14,702.14 and 6,677.25

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Solution

The fourth proportional to 10,653.94, 14,702.14 and 6,677.25 is: 9,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.94 : 14,702.14 = 6,677.25 : x
  2. Step 2: Convert to fraction form
    10,653.94/14,702.14 = 6,677.25/x
  3. Step 3: Cross multiply
    10,653.94x = 14,702.14 × 6,677.25
  4. Step 4: Simplify right side
    10,653.94x = 98,169,864.32
  5. Step 5: Solve for x
    x = 98,169,864.32/10,653.94
  6. Step 6: Final answer
    x = 9,214.42

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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.