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Finding the Fourth Proportional to 10,706.58, 16,061.83 and 4,463.51

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Solution

The fourth proportional to 10,706.58, 16,061.83 and 4,463.51 is: 6,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.58 : 16,061.83 = 4,463.51 : x
  2. Step 2: Convert to fraction form
    10,706.58/16,061.83 = 4,463.51/x
  3. Step 3: Cross multiply
    10,706.58x = 16,061.83 × 4,463.51
  4. Step 4: Simplify right side
    10,706.58x = 71,692,047.36
  5. Step 5: Solve for x
    x = 71,692,047.36/10,706.58
  6. Step 6: Final answer
    x = 6,696.07

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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.