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Finding the Fourth Proportional to 10,549.78, 14,558.88 and 6,074.98

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Solution

The fourth proportional to 10,549.78, 14,558.88 and 6,074.98 is: 8,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.78 : 14,558.88 = 6,074.98 : x
  2. Step 2: Convert to fraction form
    10,549.78/14,558.88 = 6,074.98/x
  3. Step 3: Cross multiply
    10,549.78x = 14,558.88 × 6,074.98
  4. Step 4: Simplify right side
    10,549.78x = 88,444,904.82
  5. Step 5: Solve for x
    x = 88,444,904.82/10,549.78
  6. Step 6: Final answer
    x = 8,383.58

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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.