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Finding the Fourth Proportional to 7,586.66, 11,385.10 and 2,656.34

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Solution

The fourth proportional to 7,586.66, 11,385.10 and 2,656.34 is: 3,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.66 : 11,385.10 = 2,656.34 : x
  2. Step 2: Convert to fraction form
    7,586.66/11,385.10 = 2,656.34/x
  3. Step 3: Cross multiply
    7,586.66x = 11,385.10 × 2,656.34
  4. Step 4: Simplify right side
    7,586.66x = 30,242,696.53
  5. Step 5: Solve for x
    x = 30,242,696.53/7,586.66
  6. Step 6: Final answer
    x = 3,986.30

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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.