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Finding the Fourth Proportional to 7,106.56, 9,811.00 and 4,274.62

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Solution

The fourth proportional to 7,106.56, 9,811.00 and 4,274.62 is: 5,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.56 : 9,811.00 = 4,274.62 : x
  2. Step 2: Convert to fraction form
    7,106.56/9,811.00 = 4,274.62/x
  3. Step 3: Cross multiply
    7,106.56x = 9,811.00 × 4,274.62
  4. Step 4: Simplify right side
    7,106.56x = 41,938,320.80
  5. Step 5: Solve for x
    x = 41,938,320.80/7,106.56
  6. Step 6: Final answer
    x = 5,901.35

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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.