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Finding the Fourth Proportional to 10,250.64, 14,152.32 and 7,888.32

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Solution

The fourth proportional to 10,250.64, 14,152.32 and 7,888.32 is: 10,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.64 : 14,152.32 = 7,888.32 : x
  2. Step 2: Convert to fraction form
    10,250.64/14,152.32 = 7,888.32/x
  3. Step 3: Cross multiply
    10,250.64x = 14,152.32 × 7,888.32
  4. Step 4: Simplify right side
    10,250.64x = 111,638,028.90
  5. Step 5: Solve for x
    x = 111,638,028.90/10,250.64
  6. Step 6: Final answer
    x = 10,890.84

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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.