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Finding the Fourth Proportional to 11,802.28, 17,713.53 and 6,259.48

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Solution

The fourth proportional to 11,802.28, 17,713.53 and 6,259.48 is: 9,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.28 : 17,713.53 = 6,259.48 : x
  2. Step 2: Convert to fraction form
    11,802.28/17,713.53 = 6,259.48/x
  3. Step 3: Cross multiply
    11,802.28x = 17,713.53 × 6,259.48
  4. Step 4: Simplify right side
    11,802.28x = 110,877,486.76
  5. Step 5: Solve for x
    x = 110,877,486.76/11,802.28
  6. Step 6: Final answer
    x = 9,394.58

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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.