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Finding the Fourth Proportional to 10,538.60, 14,546.16 and 6,062.84

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Solution

The fourth proportional to 10,538.60, 14,546.16 and 6,062.84 is: 8,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.60 : 14,546.16 = 6,062.84 : x
  2. Step 2: Convert to fraction form
    10,538.60/14,546.16 = 6,062.84/x
  3. Step 3: Cross multiply
    10,538.60x = 14,546.16 × 6,062.84
  4. Step 4: Simplify right side
    10,538.60x = 88,191,040.69
  5. Step 5: Solve for x
    x = 88,191,040.69/10,538.60
  6. Step 6: Final answer
    x = 8,368.38

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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.