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Finding the Fourth Proportional to 8,674.00, 11,970.50 and 5,486.15

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Solution

The fourth proportional to 8,674.00, 11,970.50 and 5,486.15 is: 7,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.00 : 11,970.50 = 5,486.15 : x
  2. Step 2: Convert to fraction form
    8,674.00/11,970.50 = 5,486.15/x
  3. Step 3: Cross multiply
    8,674.00x = 11,970.50 × 5,486.15
  4. Step 4: Simplify right side
    8,674.00x = 65,671,961.07
  5. Step 5: Solve for x
    x = 65,671,961.07/8,674.00
  6. Step 6: Final answer
    x = 7,571.13

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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.