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Finding the Fourth Proportional to 7,157.16, 9,880.25 and 4,771.10

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Solution

The fourth proportional to 7,157.16, 9,880.25 and 4,771.10 is: 6,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.16 : 9,880.25 = 4,771.10 : x
  2. Step 2: Convert to fraction form
    7,157.16/9,880.25 = 4,771.10/x
  3. Step 3: Cross multiply
    7,157.16x = 9,880.25 × 4,771.10
  4. Step 4: Simplify right side
    7,157.16x = 47,139,661.62
  5. Step 5: Solve for x
    x = 47,139,661.62/7,157.16
  6. Step 6: Final answer
    x = 6,586.36

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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.