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Finding the Fourth Proportional to 10,783.32, 14,886.82 and 7,563.02

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Solution

The fourth proportional to 10,783.32, 14,886.82 and 7,563.02 is: 10,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.32 : 14,886.82 = 7,563.02 : x
  2. Step 2: Convert to fraction form
    10,783.32/14,886.82 = 7,563.02/x
  3. Step 3: Cross multiply
    10,783.32x = 14,886.82 × 7,563.02
  4. Step 4: Simplify right side
    10,783.32x = 112,589,316.80
  5. Step 5: Solve for x
    x = 112,589,316.80/10,783.32
  6. Step 6: Final answer
    x = 10,441.07

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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.