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Finding the Fourth Proportional to 7,714.63, 11,566.75 and 6,235.64

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Solution

The fourth proportional to 7,714.63, 11,566.75 and 6,235.64 is: 9,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.63 : 11,566.75 = 6,235.64 : x
  2. Step 2: Convert to fraction form
    7,714.63/11,566.75 = 6,235.64/x
  3. Step 3: Cross multiply
    7,714.63x = 11,566.75 × 6,235.64
  4. Step 4: Simplify right side
    7,714.63x = 72,126,088.97
  5. Step 5: Solve for x
    x = 72,126,088.97/7,714.63
  6. Step 6: Final answer
    x = 9,349.26

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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.