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Finding the Fourth Proportional to 6,953.16, 10,430.42 and 2,021.46

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Solution

The fourth proportional to 6,953.16, 10,430.42 and 2,021.46 is: 3,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.16 : 10,430.42 = 2,021.46 : x
  2. Step 2: Convert to fraction form
    6,953.16/10,430.42 = 2,021.46/x
  3. Step 3: Cross multiply
    6,953.16x = 10,430.42 × 2,021.46
  4. Step 4: Simplify right side
    6,953.16x = 21,084,676.81
  5. Step 5: Solve for x
    x = 21,084,676.81/6,953.16
  6. Step 6: Final answer
    x = 3,032.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.