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Finding the Fourth Proportional to 10,681.96, 14,742.58 and 5,966.50

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Solution

The fourth proportional to 10,681.96, 14,742.58 and 5,966.50 is: 8,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.96 : 14,742.58 = 5,966.50 : x
  2. Step 2: Convert to fraction form
    10,681.96/14,742.58 = 5,966.50/x
  3. Step 3: Cross multiply
    10,681.96x = 14,742.58 × 5,966.50
  4. Step 4: Simplify right side
    10,681.96x = 87,961,603.57
  5. Step 5: Solve for x
    x = 87,961,603.57/10,681.96
  6. Step 6: Final answer
    x = 8,234.59

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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.