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Finding the Fourth Proportional to 7,130.57, 9,833.82 and 4,478.23

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Solution

The fourth proportional to 7,130.57, 9,833.82 and 4,478.23 is: 6,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.57 : 9,833.82 = 4,478.23 : x
  2. Step 2: Convert to fraction form
    7,130.57/9,833.82 = 4,478.23/x
  3. Step 3: Cross multiply
    7,130.57x = 9,833.82 × 4,478.23
  4. Step 4: Simplify right side
    7,130.57x = 44,038,107.74
  5. Step 5: Solve for x
    x = 44,038,107.74/7,130.57
  6. Step 6: Final answer
    x = 6,175.96

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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.