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Finding the Fourth Proportional to 11,798.10, 16,279.65 and 7,812.90

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Solution

The fourth proportional to 11,798.10, 16,279.65 and 7,812.90 is: 10,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.10 : 16,279.65 = 7,812.90 : x
  2. Step 2: Convert to fraction form
    11,798.10/16,279.65 = 7,812.90/x
  3. Step 3: Cross multiply
    11,798.10x = 16,279.65 × 7,812.90
  4. Step 4: Simplify right side
    11,798.10x = 127,191,277.49
  5. Step 5: Solve for x
    x = 127,191,277.49/11,798.10
  6. Step 6: Final answer
    x = 10,780.66

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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.