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Finding the Fourth Proportional to 7,642.30, 11,441.58 and 4,700.80

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Solution

The fourth proportional to 7,642.30, 11,441.58 and 4,700.80 is: 7,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.30 : 11,441.58 = 4,700.80 : x
  2. Step 2: Convert to fraction form
    7,642.30/11,441.58 = 4,700.80/x
  3. Step 3: Cross multiply
    7,642.30x = 11,441.58 × 4,700.80
  4. Step 4: Simplify right side
    7,642.30x = 53,784,579.26
  5. Step 5: Solve for x
    x = 53,784,579.26/7,642.30
  6. Step 6: Final answer
    x = 7,037.75

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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.