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Finding the Fourth Proportional to 10,307.64, 14,224.46 and 5,770.32

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Solution

The fourth proportional to 10,307.64, 14,224.46 and 5,770.32 is: 7,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.64 : 14,224.46 = 5,770.32 : x
  2. Step 2: Convert to fraction form
    10,307.64/14,224.46 = 5,770.32/x
  3. Step 3: Cross multiply
    10,307.64x = 14,224.46 × 5,770.32
  4. Step 4: Simplify right side
    10,307.64x = 82,079,657.18
  5. Step 5: Solve for x
    x = 82,079,657.18/10,307.64
  6. Step 6: Final answer
    x = 7,962.99

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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.