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Finding the Fourth Proportional to 10,441.40, 15,665.70 and 4,602.20

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Solution

The fourth proportional to 10,441.40, 15,665.70 and 4,602.20 is: 6,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.40 : 15,665.70 = 4,602.20 : x
  2. Step 2: Convert to fraction form
    10,441.40/15,665.70 = 4,602.20/x
  3. Step 3: Cross multiply
    10,441.40x = 15,665.70 × 4,602.20
  4. Step 4: Simplify right side
    10,441.40x = 72,096,684.54
  5. Step 5: Solve for x
    x = 72,096,684.54/10,441.40
  6. Step 6: Final answer
    x = 6,904.89

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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.