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Finding the Fourth Proportional to 10,007.47, 13,811.48 and 8,325.91

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Solution

The fourth proportional to 10,007.47, 13,811.48 and 8,325.91 is: 11,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.47 : 13,811.48 = 8,325.91 : x
  2. Step 2: Convert to fraction form
    10,007.47/13,811.48 = 8,325.91/x
  3. Step 3: Cross multiply
    10,007.47x = 13,811.48 × 8,325.91
  4. Step 4: Simplify right side
    10,007.47x = 114,993,139.45
  5. Step 5: Solve for x
    x = 114,993,139.45/10,007.47
  6. Step 6: Final answer
    x = 11,490.73

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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.