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Finding the Fourth Proportional to 6,917.60, 10,371.36 and 4,719.44

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Solution

The fourth proportional to 6,917.60, 10,371.36 and 4,719.44 is: 7,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.60 : 10,371.36 = 4,719.44 : x
  2. Step 2: Convert to fraction form
    6,917.60/10,371.36 = 4,719.44/x
  3. Step 3: Cross multiply
    6,917.60x = 10,371.36 × 4,719.44
  4. Step 4: Simplify right side
    6,917.60x = 48,947,011.24
  5. Step 5: Solve for x
    x = 48,947,011.24/6,917.60
  6. Step 6: Final answer
    x = 7,075.72

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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.