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Finding the Fourth Proportional to 7,737.72, 11,598.64 and 3,060.94

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Solution

The fourth proportional to 7,737.72, 11,598.64 and 3,060.94 is: 4,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.72 : 11,598.64 = 3,060.94 : x
  2. Step 2: Convert to fraction form
    7,737.72/11,598.64 = 3,060.94/x
  3. Step 3: Cross multiply
    7,737.72x = 11,598.64 × 3,060.94
  4. Step 4: Simplify right side
    7,737.72x = 35,502,741.12
  5. Step 5: Solve for x
    x = 35,502,741.12/7,737.72
  6. Step 6: Final answer
    x = 4,588.27

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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.