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Finding the Fourth Proportional to 10,780.84, 14,873.33 and 7,955.00

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Solution

The fourth proportional to 10,780.84, 14,873.33 and 7,955.00 is: 10,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.84 : 14,873.33 = 7,955.00 : x
  2. Step 2: Convert to fraction form
    10,780.84/14,873.33 = 7,955.00/x
  3. Step 3: Cross multiply
    10,780.84x = 14,873.33 × 7,955.00
  4. Step 4: Simplify right side
    10,780.84x = 118,317,341.45
  5. Step 5: Solve for x
    x = 118,317,341.45/10,780.84
  6. Step 6: Final answer
    x = 10,974.78

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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.