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Finding the Fourth Proportional to 7,966.82, 10,993.88 and 4,430

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Solution

The fourth proportional to 7,966.82, 10,993.88 and 4,430 is: 6,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.82 : 10,993.88 = 4,430 : x
  2. Step 2: Convert to fraction form
    7,966.82/10,993.88 = 4,430/x
  3. Step 3: Cross multiply
    7,966.82x = 10,993.88 × 4,430
  4. Step 4: Simplify right side
    7,966.82x = 48,702,888.40
  5. Step 5: Solve for x
    x = 48,702,888.40/7,966.82
  6. Step 6: Final answer
    x = 6,113.22

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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.