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Finding the Fourth Proportional to 7,730.96, 11,599.76 and 4,959.20

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Solution

The fourth proportional to 7,730.96, 11,599.76 and 4,959.20 is: 7,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.96 : 11,599.76 = 4,959.20 : x
  2. Step 2: Convert to fraction form
    7,730.96/11,599.76 = 4,959.20/x
  3. Step 3: Cross multiply
    7,730.96x = 11,599.76 × 4,959.20
  4. Step 4: Simplify right side
    7,730.96x = 57,525,529.79
  5. Step 5: Solve for x
    x = 57,525,529.79/7,730.96
  6. Step 6: Final answer
    x = 7,440.93

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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.