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Finding the Fourth Proportional to 11,124.64, 16,668.48 and 7,830.81

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Solution

The fourth proportional to 11,124.64, 16,668.48 and 7,830.81 is: 11,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.64 : 16,668.48 = 7,830.81 : x
  2. Step 2: Convert to fraction form
    11,124.64/16,668.48 = 7,830.81/x
  3. Step 3: Cross multiply
    11,124.64x = 16,668.48 × 7,830.81
  4. Step 4: Simplify right side
    11,124.64x = 130,527,699.87
  5. Step 5: Solve for x
    x = 130,527,699.87/11,124.64
  6. Step 6: Final answer
    x = 11,733.21

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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.