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Finding the Fourth Proportional to 10,455.46, 15,683.07 and 5,260.18

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Solution

The fourth proportional to 10,455.46, 15,683.07 and 5,260.18 is: 7,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.46 : 15,683.07 = 5,260.18 : x
  2. Step 2: Convert to fraction form
    10,455.46/15,683.07 = 5,260.18/x
  3. Step 3: Cross multiply
    10,455.46x = 15,683.07 × 5,260.18
  4. Step 4: Simplify right side
    10,455.46x = 82,495,771.15
  5. Step 5: Solve for x
    x = 82,495,771.15/10,455.46
  6. Step 6: Final answer
    x = 7,890.21

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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.