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Finding the Fourth Proportional to 7,966.45, 10,994.07 and 4,430.80

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Solution

The fourth proportional to 7,966.45, 10,994.07 and 4,430.80 is: 6,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.45 : 10,994.07 = 4,430.80 : x
  2. Step 2: Convert to fraction form
    7,966.45/10,994.07 = 4,430.80/x
  3. Step 3: Cross multiply
    7,966.45x = 10,994.07 × 4,430.80
  4. Step 4: Simplify right side
    7,966.45x = 48,712,525.36
  5. Step 5: Solve for x
    x = 48,712,525.36/7,966.45
  6. Step 6: Final answer
    x = 6,114.71

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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.