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Finding the Fourth Proportional to 10,494.80, 14,483.04 and 5,779.16

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Solution

The fourth proportional to 10,494.80, 14,483.04 and 5,779.16 is: 7,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.80 : 14,483.04 = 5,779.16 : x
  2. Step 2: Convert to fraction form
    10,494.80/14,483.04 = 5,779.16/x
  3. Step 3: Cross multiply
    10,494.80x = 14,483.04 × 5,779.16
  4. Step 4: Simplify right side
    10,494.80x = 83,699,805.45
  5. Step 5: Solve for x
    x = 83,699,805.45/10,494.80
  6. Step 6: Final answer
    x = 7,975.36

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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.