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Finding the Fourth Proportional to 10,653.24, 14,696.82 and 7,069.08

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Solution

The fourth proportional to 10,653.24, 14,696.82 and 7,069.08 is: 9,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.24 : 14,696.82 = 7,069.08 : x
  2. Step 2: Convert to fraction form
    10,653.24/14,696.82 = 7,069.08/x
  3. Step 3: Cross multiply
    10,653.24x = 14,696.82 × 7,069.08
  4. Step 4: Simplify right side
    10,653.24x = 103,892,996.33
  5. Step 5: Solve for x
    x = 103,892,996.33/10,653.24
  6. Step 6: Final answer
    x = 9,752.24

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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.