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Finding the Fourth Proportional to 10,812.64, 14,922.60 and 6,563.68

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Solution

The fourth proportional to 10,812.64, 14,922.60 and 6,563.68 is: 9,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.64 : 14,922.60 = 6,563.68 : x
  2. Step 2: Convert to fraction form
    10,812.64/14,922.60 = 6,563.68/x
  3. Step 3: Cross multiply
    10,812.64x = 14,922.60 × 6,563.68
  4. Step 4: Simplify right side
    10,812.64x = 97,947,171.17
  5. Step 5: Solve for x
    x = 97,947,171.17/10,812.64
  6. Step 6: Final answer
    x = 9,058.58

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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.