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Finding the Fourth Proportional to 10,494.42, 14,482.71 and 5,779.14

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Solution

The fourth proportional to 10,494.42, 14,482.71 and 5,779.14 is: 7,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.42 : 14,482.71 = 5,779.14 : x
  2. Step 2: Convert to fraction form
    10,494.42/14,482.71 = 5,779.14/x
  3. Step 3: Cross multiply
    10,494.42x = 14,482.71 × 5,779.14
  4. Step 4: Simplify right side
    10,494.42x = 83,697,608.67
  5. Step 5: Solve for x
    x = 83,697,608.67/10,494.42
  6. Step 6: Final answer
    x = 7,975.44

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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.