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Finding the Fourth Proportional to 7,966.99, 10,994.84 and 4,430.13

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Solution

The fourth proportional to 7,966.99, 10,994.84 and 4,430.13 is: 6,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.99 : 10,994.84 = 4,430.13 : x
  2. Step 2: Convert to fraction form
    7,966.99/10,994.84 = 4,430.13/x
  3. Step 3: Cross multiply
    7,966.99x = 10,994.84 × 4,430.13
  4. Step 4: Simplify right side
    7,966.99x = 48,708,570.53
  5. Step 5: Solve for x
    x = 48,708,570.53/7,966.99
  6. Step 6: Final answer
    x = 6,113.80

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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.