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Finding the Fourth Proportional to 10,495.31, 14,483.63 and 5,779.63

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Solution

The fourth proportional to 10,495.31, 14,483.63 and 5,779.63 is: 7,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.31 : 14,483.63 = 5,779.63 : x
  2. Step 2: Convert to fraction form
    10,495.31/14,483.63 = 5,779.63/x
  3. Step 3: Cross multiply
    10,495.31x = 14,483.63 × 5,779.63
  4. Step 4: Simplify right side
    10,495.31x = 83,709,921.14
  5. Step 5: Solve for x
    x = 83,709,921.14/10,495.31
  6. Step 6: Final answer
    x = 7,975.94

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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.