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Finding the Fourth Proportional to 10,495.83, 14,484.44 and 5,715.92

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Solution

The fourth proportional to 10,495.83, 14,484.44 and 5,715.92 is: 7,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.83 : 14,484.44 = 5,715.92 : x
  2. Step 2: Convert to fraction form
    10,495.83/14,484.44 = 5,715.92/x
  3. Step 3: Cross multiply
    10,495.83x = 14,484.44 × 5,715.92
  4. Step 4: Simplify right side
    10,495.83x = 82,791,799.28
  5. Step 5: Solve for x
    x = 82,791,799.28/10,495.83
  6. Step 6: Final answer
    x = 7,888.07

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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.