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Finding the Fourth Proportional to 11,807.46, 16,293.65 and 6,501.24

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Solution

The fourth proportional to 11,807.46, 16,293.65 and 6,501.24 is: 8,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.46 : 16,293.65 = 6,501.24 : x
  2. Step 2: Convert to fraction form
    11,807.46/16,293.65 = 6,501.24/x
  3. Step 3: Cross multiply
    11,807.46x = 16,293.65 × 6,501.24
  4. Step 4: Simplify right side
    11,807.46x = 105,928,896.62
  5. Step 5: Solve for x
    x = 105,928,896.62/11,807.46
  6. Step 6: Final answer
    x = 8,971.35

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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.