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Finding the Fourth Proportional to 10,792.98, 14,900.76 and 7,805.70

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Solution

The fourth proportional to 10,792.98, 14,900.76 and 7,805.70 is: 10,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.98 : 14,900.76 = 7,805.70 : x
  2. Step 2: Convert to fraction form
    10,792.98/14,900.76 = 7,805.70/x
  3. Step 3: Cross multiply
    10,792.98x = 14,900.76 × 7,805.70
  4. Step 4: Simplify right side
    10,792.98x = 116,310,862.33
  5. Step 5: Solve for x
    x = 116,310,862.33/10,792.98
  6. Step 6: Final answer
    x = 10,776.53

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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.