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Finding the Fourth Proportional to 11,598.58, 16,011.57 and 7,124.41

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Solution

The fourth proportional to 11,598.58, 16,011.57 and 7,124.41 is: 9,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.58 : 16,011.57 = 7,124.41 : x
  2. Step 2: Convert to fraction form
    11,598.58/16,011.57 = 7,124.41/x
  3. Step 3: Cross multiply
    11,598.58x = 16,011.57 × 7,124.41
  4. Step 4: Simplify right side
    11,598.58x = 114,072,989.42
  5. Step 5: Solve for x
    x = 114,072,989.42/11,598.58
  6. Step 6: Final answer
    x = 9,835.08

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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.