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Finding the Fourth Proportional to 7,463.85, 10,300.43 and 4,106.89

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Solution

The fourth proportional to 7,463.85, 10,300.43 and 4,106.89 is: 5,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.85 : 10,300.43 = 4,106.89 : x
  2. Step 2: Convert to fraction form
    7,463.85/10,300.43 = 4,106.89/x
  3. Step 3: Cross multiply
    7,463.85x = 10,300.43 × 4,106.89
  4. Step 4: Simplify right side
    7,463.85x = 42,302,698.17
  5. Step 5: Solve for x
    x = 42,302,698.17/7,463.85
  6. Step 6: Final answer
    x = 5,667.67

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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.