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Finding the Fourth Proportional to 8,585.48, 12,865.26 and 5,501

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Solution

The fourth proportional to 8,585.48, 12,865.26 and 5,501 is: 8,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.48 : 12,865.26 = 5,501 : x
  2. Step 2: Convert to fraction form
    8,585.48/12,865.26 = 5,501/x
  3. Step 3: Cross multiply
    8,585.48x = 12,865.26 × 5,501
  4. Step 4: Simplify right side
    8,585.48x = 70,771,795.26
  5. Step 5: Solve for x
    x = 70,771,795.26/8,585.48
  6. Step 6: Final answer
    x = 8,243.20

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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.