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Finding the Fourth Proportional to 6,955.08, 10,430.46 and 2,337

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Solution

The fourth proportional to 6,955.08, 10,430.46 and 2,337 is: 3,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.08 : 10,430.46 = 2,337 : x
  2. Step 2: Convert to fraction form
    6,955.08/10,430.46 = 2,337/x
  3. Step 3: Cross multiply
    6,955.08x = 10,430.46 × 2,337
  4. Step 4: Simplify right side
    6,955.08x = 24,375,985.02
  5. Step 5: Solve for x
    x = 24,375,985.02/6,955.08
  6. Step 6: Final answer
    x = 3,504.77

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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.