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Finding the Fourth Proportional to 7,718.50, 11,579.40 and 3,101.50

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Solution

The fourth proportional to 7,718.50, 11,579.40 and 3,101.50 is: 4,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.50 : 11,579.40 = 3,101.50 : x
  2. Step 2: Convert to fraction form
    7,718.50/11,579.40 = 3,101.50/x
  3. Step 3: Cross multiply
    7,718.50x = 11,579.40 × 3,101.50
  4. Step 4: Simplify right side
    7,718.50x = 35,913,509.10
  5. Step 5: Solve for x
    x = 35,913,509.10/7,718.50
  6. Step 6: Final answer
    x = 4,652.91

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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.