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Finding the Fourth Proportional to 10,503.95, 14,494.88 and 6,029.10

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Solution

The fourth proportional to 10,503.95, 14,494.88 and 6,029.10 is: 8,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.95 : 14,494.88 = 6,029.10 : x
  2. Step 2: Convert to fraction form
    10,503.95/14,494.88 = 6,029.10/x
  3. Step 3: Cross multiply
    10,503.95x = 14,494.88 × 6,029.10
  4. Step 4: Simplify right side
    10,503.95x = 87,391,096.08
  5. Step 5: Solve for x
    x = 87,391,096.08/10,503.95
  6. Step 6: Final answer
    x = 8,319.84

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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.