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Finding the Fourth Proportional to 10,513.94, 15,760.24 and 6,818.51

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Solution

The fourth proportional to 10,513.94, 15,760.24 and 6,818.51 is: 10,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.94 : 15,760.24 = 6,818.51 : x
  2. Step 2: Convert to fraction form
    10,513.94/15,760.24 = 6,818.51/x
  3. Step 3: Cross multiply
    10,513.94x = 15,760.24 × 6,818.51
  4. Step 4: Simplify right side
    10,513.94x = 107,461,376.40
  5. Step 5: Solve for x
    x = 107,461,376.40/10,513.94
  6. Step 6: Final answer
    x = 10,220.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.