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Finding the Fourth Proportional to 10,047.96, 15,062.02 and 4,208.60

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Solution

The fourth proportional to 10,047.96, 15,062.02 and 4,208.60 is: 6,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.96 : 15,062.02 = 4,208.60 : x
  2. Step 2: Convert to fraction form
    10,047.96/15,062.02 = 4,208.60/x
  3. Step 3: Cross multiply
    10,047.96x = 15,062.02 × 4,208.60
  4. Step 4: Simplify right side
    10,047.96x = 63,390,017.37
  5. Step 5: Solve for x
    x = 63,390,017.37/10,047.96
  6. Step 6: Final answer
    x = 6,308.74

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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.