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Finding the Fourth Proportional to 11,810.82, 16,298.73 and 6,506.13

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Solution

The fourth proportional to 11,810.82, 16,298.73 and 6,506.13 is: 8,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.82 : 16,298.73 = 6,506.13 : x
  2. Step 2: Convert to fraction form
    11,810.82/16,298.73 = 6,506.13/x
  3. Step 3: Cross multiply
    11,810.82x = 16,298.73 × 6,506.13
  4. Step 4: Simplify right side
    11,810.82x = 106,041,656.21
  5. Step 5: Solve for x
    x = 106,041,656.21/11,810.82
  6. Step 6: Final answer
    x = 8,978.35

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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.