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Finding the Fourth Proportional to 8,234.84, 11,364.72 and 4,699.10

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Solution

The fourth proportional to 8,234.84, 11,364.72 and 4,699.10 is: 6,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.84 : 11,364.72 = 4,699.10 : x
  2. Step 2: Convert to fraction form
    8,234.84/11,364.72 = 4,699.10/x
  3. Step 3: Cross multiply
    8,234.84x = 11,364.72 × 4,699.10
  4. Step 4: Simplify right side
    8,234.84x = 53,403,955.75
  5. Step 5: Solve for x
    x = 53,403,955.75/8,234.84
  6. Step 6: Final answer
    x = 6,485.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.