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Finding the Fourth Proportional to 7,647.30, 11,449.08 and 4,705.80

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Solution

The fourth proportional to 7,647.30, 11,449.08 and 4,705.80 is: 7,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.30 : 11,449.08 = 4,705.80 : x
  2. Step 2: Convert to fraction form
    7,647.30/11,449.08 = 4,705.80/x
  3. Step 3: Cross multiply
    7,647.30x = 11,449.08 × 4,705.80
  4. Step 4: Simplify right side
    7,647.30x = 53,877,080.66
  5. Step 5: Solve for x
    x = 53,877,080.66/7,647.30
  6. Step 6: Final answer
    x = 7,045.24

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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.