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Finding the Fourth Proportional to 10,356.95, 14,294 and 6,164.75

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Solution

The fourth proportional to 10,356.95, 14,294 and 6,164.75 is: 8,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.95 : 14,294 = 6,164.75 : x
  2. Step 2: Convert to fraction form
    10,356.95/14,294 = 6,164.75/x
  3. Step 3: Cross multiply
    10,356.95x = 14,294 × 6,164.75
  4. Step 4: Simplify right side
    10,356.95x = 88,118,936.50
  5. Step 5: Solve for x
    x = 88,118,936.50/10,356.95
  6. Step 6: Final answer
    x = 8,508.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.