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Finding the Fourth Proportional to 11,810.19, 16,298.02 and 6,505

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Solution

The fourth proportional to 11,810.19, 16,298.02 and 6,505 is: 8,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.19 : 16,298.02 = 6,505 : x
  2. Step 2: Convert to fraction form
    11,810.19/16,298.02 = 6,505/x
  3. Step 3: Cross multiply
    11,810.19x = 16,298.02 × 6,505
  4. Step 4: Simplify right side
    11,810.19x = 106,018,620.10
  5. Step 5: Solve for x
    x = 106,018,620.10/11,810.19
  6. Step 6: Final answer
    x = 8,976.88

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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.