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Finding the Fourth Proportional to 10,475.67, 14,456.67 and 5,695.89

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Solution

The fourth proportional to 10,475.67, 14,456.67 and 5,695.89 is: 7,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.67 : 14,456.67 = 5,695.89 : x
  2. Step 2: Convert to fraction form
    10,475.67/14,456.67 = 5,695.89/x
  3. Step 3: Cross multiply
    10,475.67x = 14,456.67 × 5,695.89
  4. Step 4: Simplify right side
    10,475.67x = 82,343,529.80
  5. Step 5: Solve for x
    x = 82,343,529.80/10,475.67
  6. Step 6: Final answer
    x = 7,860.45

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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.