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Finding the Fourth Proportional to 10,503.86, 14,495.66 and 6,028.43

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Solution

The fourth proportional to 10,503.86, 14,495.66 and 6,028.43 is: 8,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.86 : 14,495.66 = 6,028.43 : x
  2. Step 2: Convert to fraction form
    10,503.86/14,495.66 = 6,028.43/x
  3. Step 3: Cross multiply
    10,503.86x = 14,495.66 × 6,028.43
  4. Step 4: Simplify right side
    10,503.86x = 87,386,071.61
  5. Step 5: Solve for x
    x = 87,386,071.61/10,503.86
  6. Step 6: Final answer
    x = 8,319.42

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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.