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Finding the Fourth Proportional to 10,242.63, 15,372.14 and 4,698.58

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Solution

The fourth proportional to 10,242.63, 15,372.14 and 4,698.58 is: 7,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.63 : 15,372.14 = 4,698.58 : x
  2. Step 2: Convert to fraction form
    10,242.63/15,372.14 = 4,698.58/x
  3. Step 3: Cross multiply
    10,242.63x = 15,372.14 × 4,698.58
  4. Step 4: Simplify right side
    10,242.63x = 72,227,229.56
  5. Step 5: Solve for x
    x = 72,227,229.56/10,242.63
  6. Step 6: Final answer
    x = 7,051.63

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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.