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Finding the Fourth Proportional to 7,765.06, 10,712.20 and 4,576.18

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Solution

The fourth proportional to 7,765.06, 10,712.20 and 4,576.18 is: 6,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.06 : 10,712.20 = 4,576.18 : x
  2. Step 2: Convert to fraction form
    7,765.06/10,712.20 = 4,576.18/x
  3. Step 3: Cross multiply
    7,765.06x = 10,712.20 × 4,576.18
  4. Step 4: Simplify right side
    7,765.06x = 49,020,955.40
  5. Step 5: Solve for x
    x = 49,020,955.40/7,765.06
  6. Step 6: Final answer
    x = 6,313.02

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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.