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Finding the Fourth Proportional to 10,535.40, 15,798.78 and 3,958.07

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Solution

The fourth proportional to 10,535.40, 15,798.78 and 3,958.07 is: 5,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.40 : 15,798.78 = 3,958.07 : x
  2. Step 2: Convert to fraction form
    10,535.40/15,798.78 = 3,958.07/x
  3. Step 3: Cross multiply
    10,535.40x = 15,798.78 × 3,958.07
  4. Step 4: Simplify right side
    10,535.40x = 62,532,598.16
  5. Step 5: Solve for x
    x = 62,532,598.16/10,535.40
  6. Step 6: Final answer
    x = 5,935.47

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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.