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Finding the Fourth Proportional to 10,623.52, 14,664.54 and 7,085.44

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Solution

The fourth proportional to 10,623.52, 14,664.54 and 7,085.44 is: 9,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.52 : 14,664.54 = 7,085.44 : x
  2. Step 2: Convert to fraction form
    10,623.52/14,664.54 = 7,085.44/x
  3. Step 3: Cross multiply
    10,623.52x = 14,664.54 × 7,085.44
  4. Step 4: Simplify right side
    10,623.52x = 103,904,718.30
  5. Step 5: Solve for x
    x = 103,904,718.30/10,623.52
  6. Step 6: Final answer
    x = 9,780.63

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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.