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Finding the Fourth Proportional to 10,515.72, 15,773.40 and 4,971.72

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Solution

The fourth proportional to 10,515.72, 15,773.40 and 4,971.72 is: 7,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.72 : 15,773.40 = 4,971.72 : x
  2. Step 2: Convert to fraction form
    10,515.72/15,773.40 = 4,971.72/x
  3. Step 3: Cross multiply
    10,515.72x = 15,773.40 × 4,971.72
  4. Step 4: Simplify right side
    10,515.72x = 78,420,928.25
  5. Step 5: Solve for x
    x = 78,420,928.25/10,515.72
  6. Step 6: Final answer
    x = 7,457.49

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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.