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Finding the Fourth Proportional to 7,329.64, 10,105.68 and 6,148.12

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Solution

The fourth proportional to 7,329.64, 10,105.68 and 6,148.12 is: 8,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.64 : 10,105.68 = 6,148.12 : x
  2. Step 2: Convert to fraction form
    7,329.64/10,105.68 = 6,148.12/x
  3. Step 3: Cross multiply
    7,329.64x = 10,105.68 × 6,148.12
  4. Step 4: Simplify right side
    7,329.64x = 62,130,933.32
  5. Step 5: Solve for x
    x = 62,130,933.32/7,329.64
  6. Step 6: Final answer
    x = 8,476.67

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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.