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Finding the Fourth Proportional to 10,822.56, 14,932.76 and 7,045.32

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Solution

The fourth proportional to 10,822.56, 14,932.76 and 7,045.32 is: 9,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.56 : 14,932.76 = 7,045.32 : x
  2. Step 2: Convert to fraction form
    10,822.56/14,932.76 = 7,045.32/x
  3. Step 3: Cross multiply
    10,822.56x = 14,932.76 × 7,045.32
  4. Step 4: Simplify right side
    10,822.56x = 105,206,072.68
  5. Step 5: Solve for x
    x = 105,206,072.68/10,822.56
  6. Step 6: Final answer
    x = 9,721.00

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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.