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Finding the Fourth Proportional to 10,681.47, 14,740.65 and 5,965.75

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Solution

The fourth proportional to 10,681.47, 14,740.65 and 5,965.75 is: 8,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.47 : 14,740.65 = 5,965.75 : x
  2. Step 2: Convert to fraction form
    10,681.47/14,740.65 = 5,965.75/x
  3. Step 3: Cross multiply
    10,681.47x = 14,740.65 × 5,965.75
  4. Step 4: Simplify right side
    10,681.47x = 87,939,051.16
  5. Step 5: Solve for x
    x = 87,939,051.16/10,681.47
  6. Step 6: Final answer
    x = 8,232.86

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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.