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Finding the Fourth Proportional to 10,074.70, 15,096.65 and 6,775.58

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Solution

The fourth proportional to 10,074.70, 15,096.65 and 6,775.58 is: 10,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.70 : 15,096.65 = 6,775.58 : x
  2. Step 2: Convert to fraction form
    10,074.70/15,096.65 = 6,775.58/x
  3. Step 3: Cross multiply
    10,074.70x = 15,096.65 × 6,775.58
  4. Step 4: Simplify right side
    10,074.70x = 102,288,559.81
  5. Step 5: Solve for x
    x = 102,288,559.81/10,074.70
  6. Step 6: Final answer
    x = 10,153.01

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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.