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Finding the Fourth Proportional to 10,438.32, 15,653.37 and 3,860.00

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Solution

The fourth proportional to 10,438.32, 15,653.37 and 3,860.00 is: 5,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.32 : 15,653.37 = 3,860.00 : x
  2. Step 2: Convert to fraction form
    10,438.32/15,653.37 = 3,860.00/x
  3. Step 3: Cross multiply
    10,438.32x = 15,653.37 × 3,860.00
  4. Step 4: Simplify right side
    10,438.32x = 60,421,929.93
  5. Step 5: Solve for x
    x = 60,421,929.93/10,438.32
  6. Step 6: Final answer
    x = 5,788.47

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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.