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Finding the Fourth Proportional to 11,802.47, 17,706.74 and 3,482.15

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Solution

The fourth proportional to 11,802.47, 17,706.74 and 3,482.15 is: 5,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.47 : 17,706.74 = 3,482.15 : x
  2. Step 2: Convert to fraction form
    11,802.47/17,706.74 = 3,482.15/x
  3. Step 3: Cross multiply
    11,802.47x = 17,706.74 × 3,482.15
  4. Step 4: Simplify right side
    11,802.47x = 61,657,418.75
  5. Step 5: Solve for x
    x = 61,657,418.75/11,802.47
  6. Step 6: Final answer
    x = 5,224.11

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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.