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Finding the Fourth Proportional to 10,365.26, 15,547.46 and 2,969.42

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Solution

The fourth proportional to 10,365.26, 15,547.46 and 2,969.42 is: 4,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.26 : 15,547.46 = 2,969.42 : x
  2. Step 2: Convert to fraction form
    10,365.26/15,547.46 = 2,969.42/x
  3. Step 3: Cross multiply
    10,365.26x = 15,547.46 × 2,969.42
  4. Step 4: Simplify right side
    10,365.26x = 46,166,938.67
  5. Step 5: Solve for x
    x = 46,166,938.67/10,365.26
  6. Step 6: Final answer
    x = 4,454.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.