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Finding the Fourth Proportional to 10,365.38, 15,547.65 and 2,969.54

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Solution

The fourth proportional to 10,365.38, 15,547.65 and 2,969.54 is: 4,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.38 : 15,547.65 = 2,969.54 : x
  2. Step 2: Convert to fraction form
    10,365.38/15,547.65 = 2,969.54/x
  3. Step 3: Cross multiply
    10,365.38x = 15,547.65 × 2,969.54
  4. Step 4: Simplify right side
    10,365.38x = 46,169,290.84
  5. Step 5: Solve for x
    x = 46,169,290.84/10,365.38
  6. Step 6: Final answer
    x = 4,454.18

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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.