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Finding the Fourth Proportional to 10,827.99, 14,945.00 and 6,854.40

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Solution

The fourth proportional to 10,827.99, 14,945.00 and 6,854.40 is: 9,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.99 : 14,945.00 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    10,827.99/14,945.00 = 6,854.40/x
  3. Step 3: Cross multiply
    10,827.99x = 14,945.00 × 6,854.40
  4. Step 4: Simplify right side
    10,827.99x = 102,438,973.73
  5. Step 5: Solve for x
    x = 102,438,973.73/10,827.99
  6. Step 6: Final answer
    x = 9,460.57

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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.