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Finding the Fourth Proportional to 10,312.68, 15,466.54 and 4,760.69

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Solution

The fourth proportional to 10,312.68, 15,466.54 and 4,760.69 is: 7,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.68 : 15,466.54 = 4,760.69 : x
  2. Step 2: Convert to fraction form
    10,312.68/15,466.54 = 4,760.69/x
  3. Step 3: Cross multiply
    10,312.68x = 15,466.54 × 4,760.69
  4. Step 4: Simplify right side
    10,312.68x = 73,631,438.28
  5. Step 5: Solve for x
    x = 73,631,438.28/10,312.68
  6. Step 6: Final answer
    x = 7,139.89

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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.