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Finding the Fourth Proportional to 7,382.34, 10,191.30 and 4,696.26

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Solution

The fourth proportional to 7,382.34, 10,191.30 and 4,696.26 is: 6,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.34 : 10,191.30 = 4,696.26 : x
  2. Step 2: Convert to fraction form
    7,382.34/10,191.30 = 4,696.26/x
  3. Step 3: Cross multiply
    7,382.34x = 10,191.30 × 4,696.26
  4. Step 4: Simplify right side
    7,382.34x = 47,860,994.54
  5. Step 5: Solve for x
    x = 47,860,994.54/7,382.34
  6. Step 6: Final answer
    x = 6,483.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.