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Finding the Fourth Proportional to 11,807.34, 16,293.90 and 6,502.05

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Solution

The fourth proportional to 11,807.34, 16,293.90 and 6,502.05 is: 8,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.34 : 16,293.90 = 6,502.05 : x
  2. Step 2: Convert to fraction form
    11,807.34/16,293.90 = 6,502.05/x
  3. Step 3: Cross multiply
    11,807.34x = 16,293.90 × 6,502.05
  4. Step 4: Simplify right side
    11,807.34x = 105,943,752.50
  5. Step 5: Solve for x
    x = 105,943,752.50/11,807.34
  6. Step 6: Final answer
    x = 8,972.70

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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.