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Finding the Fourth Proportional to 11,407.83, 17,075.90 and 7,252.53

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Solution

The fourth proportional to 11,407.83, 17,075.90 and 7,252.53 is: 10,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.83 : 17,075.90 = 7,252.53 : x
  2. Step 2: Convert to fraction form
    11,407.83/17,075.90 = 7,252.53/x
  3. Step 3: Cross multiply
    11,407.83x = 17,075.90 × 7,252.53
  4. Step 4: Simplify right side
    11,407.83x = 123,843,440.76
  5. Step 5: Solve for x
    x = 123,843,440.76/11,407.83
  6. Step 6: Final answer
    x = 10,856.00

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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.