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Finding the Fourth Proportional to 11,698.53, 17,554.70 and 6,152.30

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Solution

The fourth proportional to 11,698.53, 17,554.70 and 6,152.30 is: 9,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.53 : 17,554.70 = 6,152.30 : x
  2. Step 2: Convert to fraction form
    11,698.53/17,554.70 = 6,152.30/x
  3. Step 3: Cross multiply
    11,698.53x = 17,554.70 × 6,152.30
  4. Step 4: Simplify right side
    11,698.53x = 108,001,780.81
  5. Step 5: Solve for x
    x = 108,001,780.81/11,698.53
  6. Step 6: Final answer
    x = 9,232.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.