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Finding the Fourth Proportional to 7,581.60, 10,461.42 and 4,223.34

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Solution

The fourth proportional to 7,581.60, 10,461.42 and 4,223.34 is: 5,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.60 : 10,461.42 = 4,223.34 : x
  2. Step 2: Convert to fraction form
    7,581.60/10,461.42 = 4,223.34/x
  3. Step 3: Cross multiply
    7,581.60x = 10,461.42 × 4,223.34
  4. Step 4: Simplify right side
    7,581.60x = 44,182,133.54
  5. Step 5: Solve for x
    x = 44,182,133.54/7,581.60
  6. Step 6: Final answer
    x = 5,827.55

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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.