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Finding the Fourth Proportional to 11,115.64, 15,339.02 and 6,146.68

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Solution

The fourth proportional to 11,115.64, 15,339.02 and 6,146.68 is: 8,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.64 : 15,339.02 = 6,146.68 : x
  2. Step 2: Convert to fraction form
    11,115.64/15,339.02 = 6,146.68/x
  3. Step 3: Cross multiply
    11,115.64x = 15,339.02 × 6,146.68
  4. Step 4: Simplify right side
    11,115.64x = 94,284,047.45
  5. Step 5: Solve for x
    x = 94,284,047.45/11,115.64
  6. Step 6: Final answer
    x = 8,482.11

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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.