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Finding the Fourth Proportional to 7,959.64, 11,945.84 and 4,675.50

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Solution

The fourth proportional to 7,959.64, 11,945.84 and 4,675.50 is: 7,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.64 : 11,945.84 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    7,959.64/11,945.84 = 4,675.50/x
  3. Step 3: Cross multiply
    7,959.64x = 11,945.84 × 4,675.50
  4. Step 4: Simplify right side
    7,959.64x = 55,852,774.92
  5. Step 5: Solve for x
    x = 55,852,774.92/7,959.64
  6. Step 6: Final answer
    x = 7,017.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.