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Finding the Fourth Proportional to 30,857.64, 46,286.46 and 7,484.07

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Solution

The fourth proportional to 30,857.64, 46,286.46 and 7,484.07 is: 11,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.64 : 46,286.46 = 7,484.07 : x
  2. Step 2: Convert to fraction form
    30,857.64/46,286.46 = 7,484.07/x
  3. Step 3: Cross multiply
    30,857.64x = 46,286.46 × 7,484.07
  4. Step 4: Simplify right side
    30,857.64x = 346,411,106.69
  5. Step 5: Solve for x
    x = 346,411,106.69/30,857.64
  6. Step 6: Final answer
    x = 11,226.11

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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.