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Finding the Fourth Proportional to 11,598.46, 16,004.66 and 7,122.40

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Solution

The fourth proportional to 11,598.46, 16,004.66 and 7,122.40 is: 9,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.46 : 16,004.66 = 7,122.40 : x
  2. Step 2: Convert to fraction form
    11,598.46/16,004.66 = 7,122.40/x
  3. Step 3: Cross multiply
    11,598.46x = 16,004.66 × 7,122.40
  4. Step 4: Simplify right side
    11,598.46x = 113,991,514.76
  5. Step 5: Solve for x
    x = 113,991,514.76/11,598.46
  6. Step 6: Final answer
    x = 9,828.16

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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.