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Finding the Fourth Proportional to 10,762.16, 16,142.82 and 2,970.77

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Solution

The fourth proportional to 10,762.16, 16,142.82 and 2,970.77 is: 4,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.16 : 16,142.82 = 2,970.77 : x
  2. Step 2: Convert to fraction form
    10,762.16/16,142.82 = 2,970.77/x
  3. Step 3: Cross multiply
    10,762.16x = 16,142.82 × 2,970.77
  4. Step 4: Simplify right side
    10,762.16x = 47,956,605.37
  5. Step 5: Solve for x
    x = 47,956,605.37/10,762.16
  6. Step 6: Final answer
    x = 4,456.04

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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.