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Finding the Fourth Proportional to 7,467.51, 10,304.88 and 4,110.14

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Solution

The fourth proportional to 7,467.51, 10,304.88 and 4,110.14 is: 5,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.51 : 10,304.88 = 4,110.14 : x
  2. Step 2: Convert to fraction form
    7,467.51/10,304.88 = 4,110.14/x
  3. Step 3: Cross multiply
    7,467.51x = 10,304.88 × 4,110.14
  4. Step 4: Simplify right side
    7,467.51x = 42,354,499.48
  5. Step 5: Solve for x
    x = 42,354,499.48/7,467.51
  6. Step 6: Final answer
    x = 5,671.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.