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Finding the Fourth Proportional to 11,242.50, 15,506.60 and 7,886.06

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Solution

The fourth proportional to 11,242.50, 15,506.60 and 7,886.06 is: 10,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.50 : 15,506.60 = 7,886.06 : x
  2. Step 2: Convert to fraction form
    11,242.50/15,506.60 = 7,886.06/x
  3. Step 3: Cross multiply
    11,242.50x = 15,506.60 × 7,886.06
  4. Step 4: Simplify right side
    11,242.50x = 122,285,978.00
  5. Step 5: Solve for x
    x = 122,285,978.00/11,242.50
  6. Step 6: Final answer
    x = 10,877.12

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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.