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Finding the Fourth Proportional to 7,569.07, 10,445.02 and 4,212.02

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Solution

The fourth proportional to 7,569.07, 10,445.02 and 4,212.02 is: 5,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.07 : 10,445.02 = 4,212.02 : x
  2. Step 2: Convert to fraction form
    7,569.07/10,445.02 = 4,212.02/x
  3. Step 3: Cross multiply
    7,569.07x = 10,445.02 × 4,212.02
  4. Step 4: Simplify right side
    7,569.07x = 43,994,648.72
  5. Step 5: Solve for x
    x = 43,994,648.72/7,569.07
  6. Step 6: Final answer
    x = 5,812.43

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