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Finding the Fourth Proportional to 10,335, 14,236.99 and 7,494.03

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Solution

The fourth proportional to 10,335, 14,236.99 and 7,494.03 is: 10,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335 : 14,236.99 = 7,494.03 : x
  2. Step 2: Convert to fraction form
    10,335/14,236.99 = 7,494.03/x
  3. Step 3: Cross multiply
    10,335x = 14,236.99 × 7,494.03
  4. Step 4: Simplify right side
    10,335x = 106,692,430.17
  5. Step 5: Solve for x
    x = 106,692,430.17/10,335
  6. Step 6: Final answer
    x = 10,323.41

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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.