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Finding the Fourth Proportional to 7,580.65, 10,461.27 and 4,223.43

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Solution

The fourth proportional to 7,580.65, 10,461.27 and 4,223.43 is: 5,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.65 : 10,461.27 = 4,223.43 : x
  2. Step 2: Convert to fraction form
    7,580.65/10,461.27 = 4,223.43/x
  3. Step 3: Cross multiply
    7,580.65x = 10,461.27 × 4,223.43
  4. Step 4: Simplify right side
    7,580.65x = 44,182,441.56
  5. Step 5: Solve for x
    x = 44,182,441.56/7,580.65
  6. Step 6: Final answer
    x = 5,828.32

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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.