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Finding the Fourth Proportional to 10,503.82, 14,495.24 and 5,788.10

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Solution

The fourth proportional to 10,503.82, 14,495.24 and 5,788.10 is: 7,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.82 : 14,495.24 = 5,788.10 : x
  2. Step 2: Convert to fraction form
    10,503.82/14,495.24 = 5,788.10/x
  3. Step 3: Cross multiply
    10,503.82x = 14,495.24 × 5,788.10
  4. Step 4: Simplify right side
    10,503.82x = 83,899,898.64
  5. Step 5: Solve for x
    x = 83,899,898.64/10,503.82
  6. Step 6: Final answer
    x = 7,987.56

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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.