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Finding the Fourth Proportional to 7,705.86, 11,560.35 and 2,510.34

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Solution

The fourth proportional to 7,705.86, 11,560.35 and 2,510.34 is: 3,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.86 : 11,560.35 = 2,510.34 : x
  2. Step 2: Convert to fraction form
    7,705.86/11,560.35 = 2,510.34/x
  3. Step 3: Cross multiply
    7,705.86x = 11,560.35 × 2,510.34
  4. Step 4: Simplify right side
    7,705.86x = 29,020,409.02
  5. Step 5: Solve for x
    x = 29,020,409.02/7,705.86
  6. Step 6: Final answer
    x = 3,766.02

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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.