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Finding the Fourth Proportional to 7,802.55, 11,696.64 and 2,868.44

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Solution

The fourth proportional to 7,802.55, 11,696.64 and 2,868.44 is: 4,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.55 : 11,696.64 = 2,868.44 : x
  2. Step 2: Convert to fraction form
    7,802.55/11,696.64 = 2,868.44/x
  3. Step 3: Cross multiply
    7,802.55x = 11,696.64 × 2,868.44
  4. Step 4: Simplify right side
    7,802.55x = 33,551,051.56
  5. Step 5: Solve for x
    x = 33,551,051.56/7,802.55
  6. Step 6: Final answer
    x = 4,300.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.