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Finding the Fourth Proportional to 8,482.72, 11,705.52 and 4,756

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Solution

The fourth proportional to 8,482.72, 11,705.52 and 4,756 is: 6,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.72 : 11,705.52 = 4,756 : x
  2. Step 2: Convert to fraction form
    8,482.72/11,705.52 = 4,756/x
  3. Step 3: Cross multiply
    8,482.72x = 11,705.52 × 4,756
  4. Step 4: Simplify right side
    8,482.72x = 55,671,453.12
  5. Step 5: Solve for x
    x = 55,671,453.12/8,482.72
  6. Step 6: Final answer
    x = 6,562.92

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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.