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Finding the Fourth Proportional to 10,491.75, 14,478.66 and 5,776.47

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Solution

The fourth proportional to 10,491.75, 14,478.66 and 5,776.47 is: 7,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.75 : 14,478.66 = 5,776.47 : x
  2. Step 2: Convert to fraction form
    10,491.75/14,478.66 = 5,776.47/x
  3. Step 3: Cross multiply
    10,491.75x = 14,478.66 × 5,776.47
  4. Step 4: Simplify right side
    10,491.75x = 83,635,545.13
  5. Step 5: Solve for x
    x = 83,635,545.13/10,491.75
  6. Step 6: Final answer
    x = 7,971.55

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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.