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Finding the Fourth Proportional to 10,495.24, 14,483.72 and 5,779.84

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Solution

The fourth proportional to 10,495.24, 14,483.72 and 5,779.84 is: 7,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.24 : 14,483.72 = 5,779.84 : x
  2. Step 2: Convert to fraction form
    10,495.24/14,483.72 = 5,779.84/x
  3. Step 3: Cross multiply
    10,495.24x = 14,483.72 × 5,779.84
  4. Step 4: Simplify right side
    10,495.24x = 83,713,584.20
  5. Step 5: Solve for x
    x = 83,713,584.20/10,495.24
  6. Step 6: Final answer
    x = 7,976.34

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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.