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Finding the Fourth Proportional to 10,372.02, 14,313.42 and 5,656.32

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Solution

The fourth proportional to 10,372.02, 14,313.42 and 5,656.32 is: 7,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.02 : 14,313.42 = 5,656.32 : x
  2. Step 2: Convert to fraction form
    10,372.02/14,313.42 = 5,656.32/x
  3. Step 3: Cross multiply
    10,372.02x = 14,313.42 × 5,656.32
  4. Step 4: Simplify right side
    10,372.02x = 80,961,283.81
  5. Step 5: Solve for x
    x = 80,961,283.81/10,372.02
  6. Step 6: Final answer
    x = 7,805.74

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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.