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Finding the Fourth Proportional to 10,762.48, 16,143.76 and 2,971.92

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Solution

The fourth proportional to 10,762.48, 16,143.76 and 2,971.92 is: 4,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.48 : 16,143.76 = 2,971.92 : x
  2. Step 2: Convert to fraction form
    10,762.48/16,143.76 = 2,971.92/x
  3. Step 3: Cross multiply
    10,762.48x = 16,143.76 × 2,971.92
  4. Step 4: Simplify right side
    10,762.48x = 47,977,963.22
  5. Step 5: Solve for x
    x = 47,977,963.22/10,762.48
  6. Step 6: Final answer
    x = 4,457.89

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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.