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Finding the Fourth Proportional to 7,580.85, 10,461.42 and 4,223.67

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Solution

The fourth proportional to 7,580.85, 10,461.42 and 4,223.67 is: 5,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.85 : 10,461.42 = 4,223.67 : x
  2. Step 2: Convert to fraction form
    7,580.85/10,461.42 = 4,223.67/x
  3. Step 3: Cross multiply
    7,580.85x = 10,461.42 × 4,223.67
  4. Step 4: Simplify right side
    7,580.85x = 44,185,585.81
  5. Step 5: Solve for x
    x = 44,185,585.81/7,580.85
  6. Step 6: Final answer
    x = 5,828.58

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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.