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Finding the Fourth Proportional to 13,958.64, 19,263 and 7,585.28

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Solution

The fourth proportional to 13,958.64, 19,263 and 7,585.28 is: 10,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.64 : 19,263 = 7,585.28 : x
  2. Step 2: Convert to fraction form
    13,958.64/19,263 = 7,585.28/x
  3. Step 3: Cross multiply
    13,958.64x = 19,263 × 7,585.28
  4. Step 4: Simplify right side
    13,958.64x = 146,115,248.64
  5. Step 5: Solve for x
    x = 146,115,248.64/13,958.64
  6. Step 6: Final answer
    x = 10,467.73

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Why These Related Problems?

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