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Finding the Fourth Proportional to 13,475.33, 18,596.52 and 7,507

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Solution

The fourth proportional to 13,475.33, 18,596.52 and 7,507 is: 10,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.33 : 18,596.52 = 7,507 : x
  2. Step 2: Convert to fraction form
    13,475.33/18,596.52 = 7,507/x
  3. Step 3: Cross multiply
    13,475.33x = 18,596.52 × 7,507
  4. Step 4: Simplify right side
    13,475.33x = 139,604,075.64
  5. Step 5: Solve for x
    x = 139,604,075.64/13,475.33
  6. Step 6: Final answer
    x = 10,359.97

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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.