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Finding the Fourth Proportional to 10,200.09, 15,300.15 and 5,004.75

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Solution

The fourth proportional to 10,200.09, 15,300.15 and 5,004.75 is: 7,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.09 : 15,300.15 = 5,004.75 : x
  2. Step 2: Convert to fraction form
    10,200.09/15,300.15 = 5,004.75/x
  3. Step 3: Cross multiply
    10,200.09x = 15,300.15 × 5,004.75
  4. Step 4: Simplify right side
    10,200.09x = 76,573,425.71
  5. Step 5: Solve for x
    x = 76,573,425.71/10,200.09
  6. Step 6: Final answer
    x = 7,507.13

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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.