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Finding the Fourth Proportional to 7,740.68, 11,610.06 and 4,580.00

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Solution

The fourth proportional to 7,740.68, 11,610.06 and 4,580.00 is: 6,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.68 : 11,610.06 = 4,580.00 : x
  2. Step 2: Convert to fraction form
    7,740.68/11,610.06 = 4,580.00/x
  3. Step 3: Cross multiply
    7,740.68x = 11,610.06 × 4,580.00
  4. Step 4: Simplify right side
    7,740.68x = 53,174,016.75
  5. Step 5: Solve for x
    x = 53,174,016.75/7,740.68
  6. Step 6: Final answer
    x = 6,869.43

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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.