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Finding the Fourth Proportional to 10,783.56, 14,878.32 and 6,475.54

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Solution

The fourth proportional to 10,783.56, 14,878.32 and 6,475.54 is: 8,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.56 : 14,878.32 = 6,475.54 : x
  2. Step 2: Convert to fraction form
    10,783.56/14,878.32 = 6,475.54/x
  3. Step 3: Cross multiply
    10,783.56x = 14,878.32 × 6,475.54
  4. Step 4: Simplify right side
    10,783.56x = 96,345,149.84
  5. Step 5: Solve for x
    x = 96,345,149.84/10,783.56
  6. Step 6: Final answer
    x = 8,934.45

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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.