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Finding the Fourth Proportional to 7,980.14, 11,957.24 and 4,696.22

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Solution

The fourth proportional to 7,980.14, 11,957.24 and 4,696.22 is: 7,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.14 : 11,957.24 = 4,696.22 : x
  2. Step 2: Convert to fraction form
    7,980.14/11,957.24 = 4,696.22/x
  3. Step 3: Cross multiply
    7,980.14x = 11,957.24 × 4,696.22
  4. Step 4: Simplify right side
    7,980.14x = 56,153,746.37
  5. Step 5: Solve for x
    x = 56,153,746.37/7,980.14
  6. Step 6: Final answer
    x = 7,036.69

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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.