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Finding the Fourth Proportional to 11,802.48, 17,705.64 and 4,409.52

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Solution

The fourth proportional to 11,802.48, 17,705.64 and 4,409.52 is: 6,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.48 : 17,705.64 = 4,409.52 : x
  2. Step 2: Convert to fraction form
    11,802.48/17,705.64 = 4,409.52/x
  3. Step 3: Cross multiply
    11,802.48x = 17,705.64 × 4,409.52
  4. Step 4: Simplify right side
    11,802.48x = 78,073,373.69
  5. Step 5: Solve for x
    x = 78,073,373.69/11,802.48
  6. Step 6: Final answer
    x = 6,615.00

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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.