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Finding the Fourth Proportional to 10,534.32, 15,796.28 and 5,602.64

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Solution

The fourth proportional to 10,534.32, 15,796.28 and 5,602.64 is: 8,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.32 : 15,796.28 = 5,602.64 : x
  2. Step 2: Convert to fraction form
    10,534.32/15,796.28 = 5,602.64/x
  3. Step 3: Cross multiply
    10,534.32x = 15,796.28 × 5,602.64
  4. Step 4: Simplify right side
    10,534.32x = 88,500,805.20
  5. Step 5: Solve for x
    x = 88,500,805.20/10,534.32
  6. Step 6: Final answer
    x = 8,401.19

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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.