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Finding the Fourth Proportional to 11,017.79, 15,196.69 and 7,782.40

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Solution

The fourth proportional to 11,017.79, 15,196.69 and 7,782.40 is: 10,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.79 : 15,196.69 = 7,782.40 : x
  2. Step 2: Convert to fraction form
    11,017.79/15,196.69 = 7,782.40/x
  3. Step 3: Cross multiply
    11,017.79x = 15,196.69 × 7,782.40
  4. Step 4: Simplify right side
    11,017.79x = 118,266,720.26
  5. Step 5: Solve for x
    x = 118,266,720.26/11,017.79
  6. Step 6: Final answer
    x = 10,734.16

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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.