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Finding the Fourth Proportional to 12,955.86, 17,878.64 and 7,290.86

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Solution

The fourth proportional to 12,955.86, 17,878.64 and 7,290.86 is: 10,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.86 : 17,878.64 = 7,290.86 : x
  2. Step 2: Convert to fraction form
    12,955.86/17,878.64 = 7,290.86/x
  3. Step 3: Cross multiply
    12,955.86x = 17,878.64 × 7,290.86
  4. Step 4: Simplify right side
    12,955.86x = 130,350,661.23
  5. Step 5: Solve for x
    x = 130,350,661.23/12,955.86
  6. Step 6: Final answer
    x = 10,061.14

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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.