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Finding the Fourth Proportional to 10,315.74, 15,466.86 and 4,076.58

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Solution

The fourth proportional to 10,315.74, 15,466.86 and 4,076.58 is: 6,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.74 : 15,466.86 = 4,076.58 : x
  2. Step 2: Convert to fraction form
    10,315.74/15,466.86 = 4,076.58/x
  3. Step 3: Cross multiply
    10,315.74x = 15,466.86 × 4,076.58
  4. Step 4: Simplify right side
    10,315.74x = 63,051,892.14
  5. Step 5: Solve for x
    x = 63,051,892.14/10,315.74
  6. Step 6: Final answer
    x = 6,112.20

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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.