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Finding the Fourth Proportional to 10,503.24, 14,495.08 and 6,026.96

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Solution

The fourth proportional to 10,503.24, 14,495.08 and 6,026.96 is: 8,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.24 : 14,495.08 = 6,026.96 : x
  2. Step 2: Convert to fraction form
    10,503.24/14,495.08 = 6,026.96/x
  3. Step 3: Cross multiply
    10,503.24x = 14,495.08 × 6,026.96
  4. Step 4: Simplify right side
    10,503.24x = 87,361,267.36
  5. Step 5: Solve for x
    x = 87,361,267.36/10,503.24
  6. Step 6: Final answer
    x = 8,317.55

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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.