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Finding the Fourth Proportional to 11,802.00, 17,703.04 and 4,782.14

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Solution

The fourth proportional to 11,802.00, 17,703.04 and 4,782.14 is: 7,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.00 : 17,703.04 = 4,782.14 : x
  2. Step 2: Convert to fraction form
    11,802.00/17,703.04 = 4,782.14/x
  3. Step 3: Cross multiply
    11,802.00x = 17,703.04 × 4,782.14
  4. Step 4: Simplify right side
    11,802.00x = 84,658,490.17
  5. Step 5: Solve for x
    x = 84,658,490.17/11,802.00
  6. Step 6: Final answer
    x = 7,173.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.