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Finding the Fourth Proportional to 10,602.60, 15,903.90 and 6,228.60

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Solution

The fourth proportional to 10,602.60, 15,903.90 and 6,228.60 is: 9,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.60 : 15,903.90 = 6,228.60 : x
  2. Step 2: Convert to fraction form
    10,602.60/15,903.90 = 6,228.60/x
  3. Step 3: Cross multiply
    10,602.60x = 15,903.90 × 6,228.60
  4. Step 4: Simplify right side
    10,602.60x = 99,059,031.54
  5. Step 5: Solve for x
    x = 99,059,031.54/10,602.60
  6. Step 6: Final answer
    x = 9,342.90

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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.