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Finding the Fourth Proportional to 7,966.85, 10,994.26 and 4,430.06

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Solution

The fourth proportional to 7,966.85, 10,994.26 and 4,430.06 is: 6,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.85 : 10,994.26 = 4,430.06 : x
  2. Step 2: Convert to fraction form
    7,966.85/10,994.26 = 4,430.06/x
  3. Step 3: Cross multiply
    7,966.85x = 10,994.26 × 4,430.06
  4. Step 4: Simplify right side
    7,966.85x = 48,705,231.46
  5. Step 5: Solve for x
    x = 48,705,231.46/7,966.85
  6. Step 6: Final answer
    x = 6,113.49

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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.