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Finding the Fourth Proportional to 10,775.96, 14,878.14 and 7,943.66

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Solution

The fourth proportional to 10,775.96, 14,878.14 and 7,943.66 is: 10,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.96 : 14,878.14 = 7,943.66 : x
  2. Step 2: Convert to fraction form
    10,775.96/14,878.14 = 7,943.66/x
  3. Step 3: Cross multiply
    10,775.96x = 14,878.14 × 7,943.66
  4. Step 4: Simplify right side
    10,775.96x = 118,186,885.59
  5. Step 5: Solve for x
    x = 118,186,885.59/10,775.96
  6. Step 6: Final answer
    x = 10,967.64

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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.