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Finding the Fourth Proportional to 10,145.68, 15,220.66 and 4,302.16

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Solution

The fourth proportional to 10,145.68, 15,220.66 and 4,302.16 is: 6,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.68 : 15,220.66 = 4,302.16 : x
  2. Step 2: Convert to fraction form
    10,145.68/15,220.66 = 4,302.16/x
  3. Step 3: Cross multiply
    10,145.68x = 15,220.66 × 4,302.16
  4. Step 4: Simplify right side
    10,145.68x = 65,481,714.63
  5. Step 5: Solve for x
    x = 65,481,714.63/10,145.68
  6. Step 6: Final answer
    x = 6,454.15

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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.