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Finding the Fourth Proportional to 10,956.53, 16,428.94 and 5,686.23

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Solution

The fourth proportional to 10,956.53, 16,428.94 and 5,686.23 is: 8,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.53 : 16,428.94 = 5,686.23 : x
  2. Step 2: Convert to fraction form
    10,956.53/16,428.94 = 5,686.23/x
  3. Step 3: Cross multiply
    10,956.53x = 16,428.94 × 5,686.23
  4. Step 4: Simplify right side
    10,956.53x = 93,418,731.50
  5. Step 5: Solve for x
    x = 93,418,731.50/10,956.53
  6. Step 6: Final answer
    x = 8,526.31

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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.