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Finding the Fourth Proportional to 10,392.64, 15,571.36 and 6,280

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Solution

The fourth proportional to 10,392.64, 15,571.36 and 6,280 is: 9,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.64 : 15,571.36 = 6,280 : x
  2. Step 2: Convert to fraction form
    10,392.64/15,571.36 = 6,280/x
  3. Step 3: Cross multiply
    10,392.64x = 15,571.36 × 6,280
  4. Step 4: Simplify right side
    10,392.64x = 97,788,140.80
  5. Step 5: Solve for x
    x = 97,788,140.80/10,392.64
  6. Step 6: Final answer
    x = 9,409.36

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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.