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Finding the Fourth Proportional to 10,256.56, 14,154.28 and 6,064.88

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Solution

The fourth proportional to 10,256.56, 14,154.28 and 6,064.88 is: 8,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.56 : 14,154.28 = 6,064.88 : x
  2. Step 2: Convert to fraction form
    10,256.56/14,154.28 = 6,064.88/x
  3. Step 3: Cross multiply
    10,256.56x = 14,154.28 × 6,064.88
  4. Step 4: Simplify right side
    10,256.56x = 85,844,009.69
  5. Step 5: Solve for x
    x = 85,844,009.69/10,256.56
  6. Step 6: Final answer
    x = 8,369.67

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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.