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Finding the Fourth Proportional to 11,810.32, 16,298.04 and 6,505.63

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Solution

The fourth proportional to 11,810.32, 16,298.04 and 6,505.63 is: 8,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.32 : 16,298.04 = 6,505.63 : x
  2. Step 2: Convert to fraction form
    11,810.32/16,298.04 = 6,505.63/x
  3. Step 3: Cross multiply
    11,810.32x = 16,298.04 × 6,505.63
  4. Step 4: Simplify right side
    11,810.32x = 106,029,001.62
  5. Step 5: Solve for x
    x = 106,029,001.62/11,810.32
  6. Step 6: Final answer
    x = 8,977.66

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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.