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Finding the Fourth Proportional to 11,802.84, 17,698.76 and 4,405.32

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Solution

The fourth proportional to 11,802.84, 17,698.76 and 4,405.32 is: 6,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.84 : 17,698.76 = 4,405.32 : x
  2. Step 2: Convert to fraction form
    11,802.84/17,698.76 = 4,405.32/x
  3. Step 3: Cross multiply
    11,802.84x = 17,698.76 × 4,405.32
  4. Step 4: Simplify right side
    11,802.84x = 77,968,701.40
  5. Step 5: Solve for x
    x = 77,968,701.40/11,802.84
  6. Step 6: Final answer
    x = 6,605.93

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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.