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Finding the Fourth Proportional to 10,185.76, 14,056.22 and 5,710.62

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Solution

The fourth proportional to 10,185.76, 14,056.22 and 5,710.62 is: 7,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.76 : 14,056.22 = 5,710.62 : x
  2. Step 2: Convert to fraction form
    10,185.76/14,056.22 = 5,710.62/x
  3. Step 3: Cross multiply
    10,185.76x = 14,056.22 × 5,710.62
  4. Step 4: Simplify right side
    10,185.76x = 80,269,731.06
  5. Step 5: Solve for x
    x = 80,269,731.06/10,185.76
  6. Step 6: Final answer
    x = 7,880.58

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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.