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Finding the Fourth Proportional to 7,705.60, 11,558.40 and 2,776.78

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Solution

The fourth proportional to 7,705.60, 11,558.40 and 2,776.78 is: 4,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.60 : 11,558.40 = 2,776.78 : x
  2. Step 2: Convert to fraction form
    7,705.60/11,558.40 = 2,776.78/x
  3. Step 3: Cross multiply
    7,705.60x = 11,558.40 × 2,776.78
  4. Step 4: Simplify right side
    7,705.60x = 32,095,133.95
  5. Step 5: Solve for x
    x = 32,095,133.95/7,705.60
  6. Step 6: Final answer
    x = 4,165.17

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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.