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Finding the Fourth Proportional to 10,527.48, 15,793.02 and 4,684.20

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Solution

The fourth proportional to 10,527.48, 15,793.02 and 4,684.20 is: 7,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.48 : 15,793.02 = 4,684.20 : x
  2. Step 2: Convert to fraction form
    10,527.48/15,793.02 = 4,684.20/x
  3. Step 3: Cross multiply
    10,527.48x = 15,793.02 × 4,684.20
  4. Step 4: Simplify right side
    10,527.48x = 73,977,664.28
  5. Step 5: Solve for x
    x = 73,977,664.28/10,527.48
  6. Step 6: Final answer
    x = 7,027.10

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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.