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Finding the Fourth Proportional to 10,122, 15,190.84 and 7,023.76

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Solution

The fourth proportional to 10,122, 15,190.84 and 7,023.76 is: 10,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 15,190.84 = 7,023.76 : x
  2. Step 2: Convert to fraction form
    10,122/15,190.84 = 7,023.76/x
  3. Step 3: Cross multiply
    10,122x = 15,190.84 × 7,023.76
  4. Step 4: Simplify right side
    10,122x = 106,696,814.36
  5. Step 5: Solve for x
    x = 106,696,814.36/10,122
  6. Step 6: Final answer
    x = 10,541.08

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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.