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Finding the Fourth Proportional to 7,965.82, 10,992.50 and 4,429

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Solution

The fourth proportional to 7,965.82, 10,992.50 and 4,429 is: 6,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.82 : 10,992.50 = 4,429 : x
  2. Step 2: Convert to fraction form
    7,965.82/10,992.50 = 4,429/x
  3. Step 3: Cross multiply
    7,965.82x = 10,992.50 × 4,429
  4. Step 4: Simplify right side
    7,965.82x = 48,685,782.50
  5. Step 5: Solve for x
    x = 48,685,782.50/7,965.82
  6. Step 6: Final answer
    x = 6,111.84

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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.