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Finding the Fourth Proportional to 7,802.69, 11,702.53 and 3,361.12

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Solution

The fourth proportional to 7,802.69, 11,702.53 and 3,361.12 is: 5,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.69 : 11,702.53 = 3,361.12 : x
  2. Step 2: Convert to fraction form
    7,802.69/11,702.53 = 3,361.12/x
  3. Step 3: Cross multiply
    7,802.69x = 11,702.53 × 3,361.12
  4. Step 4: Simplify right side
    7,802.69x = 39,333,549.12
  5. Step 5: Solve for x
    x = 39,333,549.12/7,802.69
  6. Step 6: Final answer
    x = 5,041.02

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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.