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Finding the Fourth Proportional to 10,284.88, 15,435.60 and 5,356

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Solution

The fourth proportional to 10,284.88, 15,435.60 and 5,356 is: 8,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.88 : 15,435.60 = 5,356 : x
  2. Step 2: Convert to fraction form
    10,284.88/15,435.60 = 5,356/x
  3. Step 3: Cross multiply
    10,284.88x = 15,435.60 × 5,356
  4. Step 4: Simplify right side
    10,284.88x = 82,673,073.60
  5. Step 5: Solve for x
    x = 82,673,073.60/10,284.88
  6. Step 6: Final answer
    x = 8,038.31

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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.