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Finding the Fourth Proportional to 7,157.78, 9,878.99 and 4,506.04

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Solution

The fourth proportional to 7,157.78, 9,878.99 and 4,506.04 is: 6,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.78 : 9,878.99 = 4,506.04 : x
  2. Step 2: Convert to fraction form
    7,157.78/9,878.99 = 4,506.04/x
  3. Step 3: Cross multiply
    7,157.78x = 9,878.99 × 4,506.04
  4. Step 4: Simplify right side
    7,157.78x = 44,515,124.10
  5. Step 5: Solve for x
    x = 44,515,124.10/7,157.78
  6. Step 6: Final answer
    x = 6,219.12

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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.