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Finding the Fourth Proportional to 7,004.16, 10,506.12 and 1,809.84

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Solution

The fourth proportional to 7,004.16, 10,506.12 and 1,809.84 is: 2,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.16 : 10,506.12 = 1,809.84 : x
  2. Step 2: Convert to fraction form
    7,004.16/10,506.12 = 1,809.84/x
  3. Step 3: Cross multiply
    7,004.16x = 10,506.12 × 1,809.84
  4. Step 4: Simplify right side
    7,004.16x = 19,014,396.22
  5. Step 5: Solve for x
    x = 19,014,396.22/7,004.16
  6. Step 6: Final answer
    x = 2,714.73

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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.