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Finding the Fourth Proportional to 11,615.60, 17,428.80 and 6,075.20

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Solution

The fourth proportional to 11,615.60, 17,428.80 and 6,075.20 is: 9,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.60 : 17,428.80 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    11,615.60/17,428.80 = 6,075.20/x
  3. Step 3: Cross multiply
    11,615.60x = 17,428.80 × 6,075.20
  4. Step 4: Simplify right side
    11,615.60x = 105,883,445.76
  5. Step 5: Solve for x
    x = 105,883,445.76/11,615.60
  6. Step 6: Final answer
    x = 9,115.62

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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.