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Finding the Fourth Proportional to 10,870.33, 14,995.71 and 7,091.75

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Solution

The fourth proportional to 10,870.33, 14,995.71 and 7,091.75 is: 9,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.33 : 14,995.71 = 7,091.75 : x
  2. Step 2: Convert to fraction form
    10,870.33/14,995.71 = 7,091.75/x
  3. Step 3: Cross multiply
    10,870.33x = 14,995.71 × 7,091.75
  4. Step 4: Simplify right side
    10,870.33x = 106,345,826.39
  5. Step 5: Solve for x
    x = 106,345,826.39/10,870.33
  6. Step 6: Final answer
    x = 9,783.13

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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.