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Finding the Fourth Proportional to 13,094.64, 18,070.65 and 7,126.38

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Solution

The fourth proportional to 13,094.64, 18,070.65 and 7,126.38 is: 9,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.64 : 18,070.65 = 7,126.38 : x
  2. Step 2: Convert to fraction form
    13,094.64/18,070.65 = 7,126.38/x
  3. Step 3: Cross multiply
    13,094.64x = 18,070.65 × 7,126.38
  4. Step 4: Simplify right side
    13,094.64x = 128,778,318.75
  5. Step 5: Solve for x
    x = 128,778,318.75/13,094.64
  6. Step 6: Final answer
    x = 9,834.43

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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.