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Finding the Fourth Proportional to 10,690.88, 14,753.43 and 7,162.52

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Solution

The fourth proportional to 10,690.88, 14,753.43 and 7,162.52 is: 9,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.88 : 14,753.43 = 7,162.52 : x
  2. Step 2: Convert to fraction form
    10,690.88/14,753.43 = 7,162.52/x
  3. Step 3: Cross multiply
    10,690.88x = 14,753.43 × 7,162.52
  4. Step 4: Simplify right side
    10,690.88x = 105,671,663.68
  5. Step 5: Solve for x
    x = 105,671,663.68/10,690.88
  6. Step 6: Final answer
    x = 9,884.29

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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.