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Finding the Fourth Proportional to 8,453.16, 11,664 and 5,313.60

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Solution

The fourth proportional to 8,453.16, 11,664 and 5,313.60 is: 7,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.16 : 11,664 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    8,453.16/11,664 = 5,313.60/x
  3. Step 3: Cross multiply
    8,453.16x = 11,664 × 5,313.60
  4. Step 4: Simplify right side
    8,453.16x = 61,977,830.40
  5. Step 5: Solve for x
    x = 61,977,830.40/8,453.16
  6. Step 6: Final answer
    x = 7,331.91

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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.