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Finding the Fourth Proportional to 10,287.56, 14,200.98 and 6,307.40

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Solution

The fourth proportional to 10,287.56, 14,200.98 and 6,307.40 is: 8,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.56 : 14,200.98 = 6,307.40 : x
  2. Step 2: Convert to fraction form
    10,287.56/14,200.98 = 6,307.40/x
  3. Step 3: Cross multiply
    10,287.56x = 14,200.98 × 6,307.40
  4. Step 4: Simplify right side
    10,287.56x = 89,571,261.25
  5. Step 5: Solve for x
    x = 89,571,261.25/10,287.56
  6. Step 6: Final answer
    x = 8,706.75

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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.