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Finding the Fourth Proportional to 10,110.32, 13,952.88 and 5,634

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Solution

The fourth proportional to 10,110.32, 13,952.88 and 5,634 is: 7,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.32 : 13,952.88 = 5,634 : x
  2. Step 2: Convert to fraction form
    10,110.32/13,952.88 = 5,634/x
  3. Step 3: Cross multiply
    10,110.32x = 13,952.88 × 5,634
  4. Step 4: Simplify right side
    10,110.32x = 78,610,525.92
  5. Step 5: Solve for x
    x = 78,610,525.92/10,110.32
  6. Step 6: Final answer
    x = 7,775.28

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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.