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Finding the Fourth Proportional to 11,075.60, 16,564.80 and 8,451.20

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Solution

The fourth proportional to 11,075.60, 16,564.80 and 8,451.20 is: 12,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.60 : 16,564.80 = 8,451.20 : x
  2. Step 2: Convert to fraction form
    11,075.60/16,564.80 = 8,451.20/x
  3. Step 3: Cross multiply
    11,075.60x = 16,564.80 × 8,451.20
  4. Step 4: Simplify right side
    11,075.60x = 139,992,437.76
  5. Step 5: Solve for x
    x = 139,992,437.76/11,075.60
  6. Step 6: Final answer
    x = 12,639.72

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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.