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Finding the Fourth Proportional to 7,710.10, 11,558.06 and 2,778.53

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Solution

The fourth proportional to 7,710.10, 11,558.06 and 2,778.53 is: 4,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.10 : 11,558.06 = 2,778.53 : x
  2. Step 2: Convert to fraction form
    7,710.10/11,558.06 = 2,778.53/x
  3. Step 3: Cross multiply
    7,710.10x = 11,558.06 × 2,778.53
  4. Step 4: Simplify right side
    7,710.10x = 32,114,452.29
  5. Step 5: Solve for x
    x = 32,114,452.29/7,710.10
  6. Step 6: Final answer
    x = 4,165.24

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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.