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Finding the Fourth Proportional to 10,571.58, 14,587.74 and 6,034.32

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Solution

The fourth proportional to 10,571.58, 14,587.74 and 6,034.32 is: 8,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.58 : 14,587.74 = 6,034.32 : x
  2. Step 2: Convert to fraction form
    10,571.58/14,587.74 = 6,034.32/x
  3. Step 3: Cross multiply
    10,571.58x = 14,587.74 × 6,034.32
  4. Step 4: Simplify right side
    10,571.58x = 88,027,091.24
  5. Step 5: Solve for x
    x = 88,027,091.24/10,571.58
  6. Step 6: Final answer
    x = 8,326.77

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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.