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Finding the Fourth Proportional to 7,004.63, 10,506.34 and 2,323.10

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Solution

The fourth proportional to 7,004.63, 10,506.34 and 2,323.10 is: 3,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.63 : 10,506.34 = 2,323.10 : x
  2. Step 2: Convert to fraction form
    7,004.63/10,506.34 = 2,323.10/x
  3. Step 3: Cross multiply
    7,004.63x = 10,506.34 × 2,323.10
  4. Step 4: Simplify right side
    7,004.63x = 24,407,278.45
  5. Step 5: Solve for x
    x = 24,407,278.45/7,004.63
  6. Step 6: Final answer
    x = 3,484.45

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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.