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Finding the Fourth Proportional to 10,429.42, 15,645.84 and 3,407.40

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Solution

The fourth proportional to 10,429.42, 15,645.84 and 3,407.40 is: 5,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.42 : 15,645.84 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    10,429.42/15,645.84 = 3,407.40/x
  3. Step 3: Cross multiply
    10,429.42x = 15,645.84 × 3,407.40
  4. Step 4: Simplify right side
    10,429.42x = 53,311,539.95
  5. Step 5: Solve for x
    x = 53,311,539.95/10,429.42
  6. Step 6: Final answer
    x = 5,111.65

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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.