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Finding the Fourth Proportional to 10,873.54, 14,989.26 and 7,510.78

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Solution

The fourth proportional to 10,873.54, 14,989.26 and 7,510.78 is: 10,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.54 : 14,989.26 = 7,510.78 : x
  2. Step 2: Convert to fraction form
    10,873.54/14,989.26 = 7,510.78/x
  3. Step 3: Cross multiply
    10,873.54x = 14,989.26 × 7,510.78
  4. Step 4: Simplify right side
    10,873.54x = 112,581,034.22
  5. Step 5: Solve for x
    x = 112,581,034.22/10,873.54
  6. Step 6: Final answer
    x = 10,353.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.