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Finding the Fourth Proportional to 7,768.58, 11,655.25 and 4,652.10

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Solution

The fourth proportional to 7,768.58, 11,655.25 and 4,652.10 is: 6,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.58 : 11,655.25 = 4,652.10 : x
  2. Step 2: Convert to fraction form
    7,768.58/11,655.25 = 4,652.10/x
  3. Step 3: Cross multiply
    7,768.58x = 11,655.25 × 4,652.10
  4. Step 4: Simplify right side
    7,768.58x = 54,221,376.89
  5. Step 5: Solve for x
    x = 54,221,376.89/7,768.58
  6. Step 6: Final answer
    x = 6,979.58

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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.