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Finding the Fourth Proportional to 11,598.36, 16,005.53 and 7,059.40

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Solution

The fourth proportional to 11,598.36, 16,005.53 and 7,059.40 is: 9,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.36 : 16,005.53 = 7,059.40 : x
  2. Step 2: Convert to fraction form
    11,598.36/16,005.53 = 7,059.40/x
  3. Step 3: Cross multiply
    11,598.36x = 16,005.53 × 7,059.40
  4. Step 4: Simplify right side
    11,598.36x = 112,989,438.48
  5. Step 5: Solve for x
    x = 112,989,438.48/11,598.36
  6. Step 6: Final answer
    x = 9,741.85

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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.