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Finding the Fourth Proportional to 11,485.50, 15,851.40 and 7,009.14

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Solution

The fourth proportional to 11,485.50, 15,851.40 and 7,009.14 is: 9,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.50 : 15,851.40 = 7,009.14 : x
  2. Step 2: Convert to fraction form
    11,485.50/15,851.40 = 7,009.14/x
  3. Step 3: Cross multiply
    11,485.50x = 15,851.40 × 7,009.14
  4. Step 4: Simplify right side
    11,485.50x = 111,104,681.80
  5. Step 5: Solve for x
    x = 111,104,681.80/11,485.50
  6. Step 6: Final answer
    x = 9,673.47

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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.