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Finding the Fourth Proportional to 7,966.86, 10,994.46 and 4,430

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Solution

The fourth proportional to 7,966.86, 10,994.46 and 4,430 is: 6,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.86 : 10,994.46 = 4,430 : x
  2. Step 2: Convert to fraction form
    7,966.86/10,994.46 = 4,430/x
  3. Step 3: Cross multiply
    7,966.86x = 10,994.46 × 4,430
  4. Step 4: Simplify right side
    7,966.86x = 48,705,457.80
  5. Step 5: Solve for x
    x = 48,705,457.80/7,966.86
  6. Step 6: Final answer
    x = 6,113.51

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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.