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Finding the Fourth Proportional to 11,633.14, 16,050.18 and 6,597.10

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Solution

The fourth proportional to 11,633.14, 16,050.18 and 6,597.10 is: 9,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.14 : 16,050.18 = 6,597.10 : x
  2. Step 2: Convert to fraction form
    11,633.14/16,050.18 = 6,597.10/x
  3. Step 3: Cross multiply
    11,633.14x = 16,050.18 × 6,597.10
  4. Step 4: Simplify right side
    11,633.14x = 105,884,642.48
  5. Step 5: Solve for x
    x = 105,884,642.48/11,633.14
  6. Step 6: Final answer
    x = 9,101.98

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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.