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Finding the Fourth Proportional to 10,463.94, 15,771.15 and 9,020.52

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Solution

The fourth proportional to 10,463.94, 15,771.15 and 9,020.52 is: 13,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.94 : 15,771.15 = 9,020.52 : x
  2. Step 2: Convert to fraction form
    10,463.94/15,771.15 = 9,020.52/x
  3. Step 3: Cross multiply
    10,463.94x = 15,771.15 × 9,020.52
  4. Step 4: Simplify right side
    10,463.94x = 142,263,974.00
  5. Step 5: Solve for x
    x = 142,263,974.00/10,463.94
  6. Step 6: Final answer
    x = 13,595.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.