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Finding the Fourth Proportional to 10,196.69, 14,035.28 and 7,539.48

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Solution

The fourth proportional to 10,196.69, 14,035.28 and 7,539.48 is: 10,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.69 : 14,035.28 = 7,539.48 : x
  2. Step 2: Convert to fraction form
    10,196.69/14,035.28 = 7,539.48/x
  3. Step 3: Cross multiply
    10,196.69x = 14,035.28 × 7,539.48
  4. Step 4: Simplify right side
    10,196.69x = 105,818,675.16
  5. Step 5: Solve for x
    x = 105,818,675.16/10,196.69
  6. Step 6: Final answer
    x = 10,377.75

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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.