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Finding the Fourth Proportional to 13,094.75, 18,070.67 and 7,126.40

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Solution

The fourth proportional to 13,094.75, 18,070.67 and 7,126.40 is: 9,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.75 : 18,070.67 = 7,126.40 : x
  2. Step 2: Convert to fraction form
    13,094.75/18,070.67 = 7,126.40/x
  3. Step 3: Cross multiply
    13,094.75x = 18,070.67 × 7,126.40
  4. Step 4: Simplify right side
    13,094.75x = 128,778,696.70
  5. Step 5: Solve for x
    x = 128,778,696.70/13,094.75
  6. Step 6: Final answer
    x = 9,834.38

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Why These Related Problems?

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