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Finding the Fourth Proportional to 7,235.94, 10,846.53 and 4,109.34

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Solution

The fourth proportional to 7,235.94, 10,846.53 and 4,109.34 is: 6,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.94 : 10,846.53 = 4,109.34 : x
  2. Step 2: Convert to fraction form
    7,235.94/10,846.53 = 4,109.34/x
  3. Step 3: Cross multiply
    7,235.94x = 10,846.53 × 4,109.34
  4. Step 4: Simplify right side
    7,235.94x = 44,572,079.59
  5. Step 5: Solve for x
    x = 44,572,079.59/7,235.94
  6. Step 6: Final answer
    x = 6,159.82

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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.