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Finding the Fourth Proportional to 10,302.19, 15,451.90 and 2,907.24

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Solution

The fourth proportional to 10,302.19, 15,451.90 and 2,907.24 is: 4,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.19 : 15,451.90 = 2,907.24 : x
  2. Step 2: Convert to fraction form
    10,302.19/15,451.90 = 2,907.24/x
  3. Step 3: Cross multiply
    10,302.19x = 15,451.90 × 2,907.24
  4. Step 4: Simplify right side
    10,302.19x = 44,922,374.49
  5. Step 5: Solve for x
    x = 44,922,374.49/10,302.19
  6. Step 6: Final answer
    x = 4,360.47

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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.