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Finding the Fourth Proportional to 7,658.16, 11,485.44 and 4,880.76

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Solution

The fourth proportional to 7,658.16, 11,485.44 and 4,880.76 is: 7,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.16 : 11,485.44 = 4,880.76 : x
  2. Step 2: Convert to fraction form
    7,658.16/11,485.44 = 4,880.76/x
  3. Step 3: Cross multiply
    7,658.16x = 11,485.44 × 4,880.76
  4. Step 4: Simplify right side
    7,658.16x = 56,057,676.13
  5. Step 5: Solve for x
    x = 56,057,676.13/7,658.16
  6. Step 6: Final answer
    x = 7,319.99

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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.