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Finding the Fourth Proportional to 11,802.88, 17,707.40 and 4,407.40

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Solution

The fourth proportional to 11,802.88, 17,707.40 and 4,407.40 is: 6,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.88 : 17,707.40 = 4,407.40 : x
  2. Step 2: Convert to fraction form
    11,802.88/17,707.40 = 4,407.40/x
  3. Step 3: Cross multiply
    11,802.88x = 17,707.40 × 4,407.40
  4. Step 4: Simplify right side
    11,802.88x = 78,043,594.76
  5. Step 5: Solve for x
    x = 78,043,594.76/11,802.88
  6. Step 6: Final answer
    x = 6,612.25

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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.