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Finding the Fourth Proportional to 6,956.46, 10,412.12 and 4,459.19

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Solution

The fourth proportional to 6,956.46, 10,412.12 and 4,459.19 is: 6,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.46 : 10,412.12 = 4,459.19 : x
  2. Step 2: Convert to fraction form
    6,956.46/10,412.12 = 4,459.19/x
  3. Step 3: Cross multiply
    6,956.46x = 10,412.12 × 4,459.19
  4. Step 4: Simplify right side
    6,956.46x = 46,429,580.47
  5. Step 5: Solve for x
    x = 46,429,580.47/6,956.46
  6. Step 6: Final answer
    x = 6,674.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.