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Finding the Fourth Proportional to 11,622.16, 17,435 and 4,696.40

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Solution

The fourth proportional to 11,622.16, 17,435 and 4,696.40 is: 7,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.16 : 17,435 = 4,696.40 : x
  2. Step 2: Convert to fraction form
    11,622.16/17,435 = 4,696.40/x
  3. Step 3: Cross multiply
    11,622.16x = 17,435 × 4,696.40
  4. Step 4: Simplify right side
    11,622.16x = 81,881,734
  5. Step 5: Solve for x
    x = 81,881,734/11,622.16
  6. Step 6: Final answer
    x = 7,045.31

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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.