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Finding the Fourth Proportional to 11,455.04, 15,809.06 and 6,419.24

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Solution

The fourth proportional to 11,455.04, 15,809.06 and 6,419.24 is: 8,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.04 : 15,809.06 = 6,419.24 : x
  2. Step 2: Convert to fraction form
    11,455.04/15,809.06 = 6,419.24/x
  3. Step 3: Cross multiply
    11,455.04x = 15,809.06 × 6,419.24
  4. Step 4: Simplify right side
    11,455.04x = 101,482,150.31
  5. Step 5: Solve for x
    x = 101,482,150.31/11,455.04
  6. Step 6: Final answer
    x = 8,859.17

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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.