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Finding the Fourth Proportional to 11,430.93, 15,772.14 and 7,236.75

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Solution

The fourth proportional to 11,430.93, 15,772.14 and 7,236.75 is: 9,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.93 : 15,772.14 = 7,236.75 : x
  2. Step 2: Convert to fraction form
    11,430.93/15,772.14 = 7,236.75/x
  3. Step 3: Cross multiply
    11,430.93x = 15,772.14 × 7,236.75
  4. Step 4: Simplify right side
    11,430.93x = 114,139,034.15
  5. Step 5: Solve for x
    x = 114,139,034.15/11,430.93
  6. Step 6: Final answer
    x = 9,985.10

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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.