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Finding the Fourth Proportional to 7,345, 11,017.51 and 2,150.88

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Solution

The fourth proportional to 7,345, 11,017.51 and 2,150.88 is: 3,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345 : 11,017.51 = 2,150.88 : x
  2. Step 2: Convert to fraction form
    7,345/11,017.51 = 2,150.88/x
  3. Step 3: Cross multiply
    7,345x = 11,017.51 × 2,150.88
  4. Step 4: Simplify right side
    7,345x = 23,697,341.91
  5. Step 5: Solve for x
    x = 23,697,341.91/7,345
  6. Step 6: Final answer
    x = 3,226.32

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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.