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Finding the Fourth Proportional to 12,537.71, 18,776.65 and 7,261.57

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Solution

The fourth proportional to 12,537.71, 18,776.65 and 7,261.57 is: 10,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.71 : 18,776.65 = 7,261.57 : x
  2. Step 2: Convert to fraction form
    12,537.71/18,776.65 = 7,261.57/x
  3. Step 3: Cross multiply
    12,537.71x = 18,776.65 × 7,261.57
  4. Step 4: Simplify right side
    12,537.71x = 136,347,864.46
  5. Step 5: Solve for x
    x = 136,347,864.46/12,537.71
  6. Step 6: Final answer
    x = 10,875.03

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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.