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Finding the Fourth Proportional to 11,598.34, 16,005.82 and 6,562.60

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Solution

The fourth proportional to 11,598.34, 16,005.82 and 6,562.60 is: 9,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.34 : 16,005.82 = 6,562.60 : x
  2. Step 2: Convert to fraction form
    11,598.34/16,005.82 = 6,562.60/x
  3. Step 3: Cross multiply
    11,598.34x = 16,005.82 × 6,562.60
  4. Step 4: Simplify right side
    11,598.34x = 105,039,794.33
  5. Step 5: Solve for x
    x = 105,039,794.33/11,598.34
  6. Step 6: Final answer
    x = 9,056.45

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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.