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Finding the Fourth Proportional to 10,774.83, 14,878.62 and 7,947.11

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Solution

The fourth proportional to 10,774.83, 14,878.62 and 7,947.11 is: 10,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.83 : 14,878.62 = 7,947.11 : x
  2. Step 2: Convert to fraction form
    10,774.83/14,878.62 = 7,947.11/x
  3. Step 3: Cross multiply
    10,774.83x = 14,878.62 × 7,947.11
  4. Step 4: Simplify right side
    10,774.83x = 118,242,066.98
  5. Step 5: Solve for x
    x = 118,242,066.98/10,774.83
  6. Step 6: Final answer
    x = 10,973.91

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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.