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Finding the Fourth Proportional to 11,417.46, 15,756.14 and 6,381.87

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Solution

The fourth proportional to 11,417.46, 15,756.14 and 6,381.87 is: 8,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.46 : 15,756.14 = 6,381.87 : x
  2. Step 2: Convert to fraction form
    11,417.46/15,756.14 = 6,381.87/x
  3. Step 3: Cross multiply
    11,417.46x = 15,756.14 × 6,381.87
  4. Step 4: Simplify right side
    11,417.46x = 100,553,605.27
  5. Step 5: Solve for x
    x = 100,553,605.27/11,417.46
  6. Step 6: Final answer
    x = 8,807.00

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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.