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Finding the Fourth Proportional to 7,756.30, 10,703.58 and 4,219.42

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Solution

The fourth proportional to 7,756.30, 10,703.58 and 4,219.42 is: 5,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.30 : 10,703.58 = 4,219.42 : x
  2. Step 2: Convert to fraction form
    7,756.30/10,703.58 = 4,219.42/x
  3. Step 3: Cross multiply
    7,756.30x = 10,703.58 × 4,219.42
  4. Step 4: Simplify right side
    7,756.30x = 45,162,899.52
  5. Step 5: Solve for x
    x = 45,162,899.52/7,756.30
  6. Step 6: Final answer
    x = 5,822.74

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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.