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Finding the Fourth Proportional to 10,157.67, 14,017.28 and 5,681.79

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Solution

The fourth proportional to 10,157.67, 14,017.28 and 5,681.79 is: 7,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.67 : 14,017.28 = 5,681.79 : x
  2. Step 2: Convert to fraction form
    10,157.67/14,017.28 = 5,681.79/x
  3. Step 3: Cross multiply
    10,157.67x = 14,017.28 × 5,681.79
  4. Step 4: Simplify right side
    10,157.67x = 79,643,212.92
  5. Step 5: Solve for x
    x = 79,643,212.92/10,157.67
  6. Step 6: Final answer
    x = 7,840.70

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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.