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Finding the Fourth Proportional to 10,394.41, 14,356.25 and 7,574.40

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Solution

The fourth proportional to 10,394.41, 14,356.25 and 7,574.40 is: 10,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.41 : 14,356.25 = 7,574.40 : x
  2. Step 2: Convert to fraction form
    10,394.41/14,356.25 = 7,574.40/x
  3. Step 3: Cross multiply
    10,394.41x = 14,356.25 × 7,574.40
  4. Step 4: Simplify right side
    10,394.41x = 108,739,980
  5. Step 5: Solve for x
    x = 108,739,980/10,394.41
  6. Step 6: Final answer
    x = 10,461.39

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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.