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Finding the Fourth Proportional to 7,133.46, 10,701.60 and 5,054.19

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Solution

The fourth proportional to 7,133.46, 10,701.60 and 5,054.19 is: 7,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.46 : 10,701.60 = 5,054.19 : x
  2. Step 2: Convert to fraction form
    7,133.46/10,701.60 = 5,054.19/x
  3. Step 3: Cross multiply
    7,133.46x = 10,701.60 × 5,054.19
  4. Step 4: Simplify right side
    7,133.46x = 54,087,919.70
  5. Step 5: Solve for x
    x = 54,087,919.70/7,133.46
  6. Step 6: Final answer
    x = 7,582.28

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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.