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Finding the Fourth Proportional to 10,535.67, 15,763.82 and 6,303.42

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Solution

The fourth proportional to 10,535.67, 15,763.82 and 6,303.42 is: 9,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.67 : 15,763.82 = 6,303.42 : x
  2. Step 2: Convert to fraction form
    10,535.67/15,763.82 = 6,303.42/x
  3. Step 3: Cross multiply
    10,535.67x = 15,763.82 × 6,303.42
  4. Step 4: Simplify right side
    10,535.67x = 99,365,946.75
  5. Step 5: Solve for x
    x = 99,365,946.75/10,535.67
  6. Step 6: Final answer
    x = 9,431.38

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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.