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Finding the Fourth Proportional to 11,598.53, 16,006.33 and 6,562.64

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Solution

The fourth proportional to 11,598.53, 16,006.33 and 6,562.64 is: 9,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.53 : 16,006.33 = 6,562.64 : x
  2. Step 2: Convert to fraction form
    11,598.53/16,006.33 = 6,562.64/x
  3. Step 3: Cross multiply
    11,598.53x = 16,006.33 × 6,562.64
  4. Step 4: Simplify right side
    11,598.53x = 105,043,702.78
  5. Step 5: Solve for x
    x = 105,043,702.78/11,598.53
  6. Step 6: Final answer
    x = 9,056.64

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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.