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Finding the Fourth Proportional to 11,116.64, 15,340.40 and 6,147.68

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Solution

The fourth proportional to 11,116.64, 15,340.40 and 6,147.68 is: 8,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.64 : 15,340.40 = 6,147.68 : x
  2. Step 2: Convert to fraction form
    11,116.64/15,340.40 = 6,147.68/x
  3. Step 3: Cross multiply
    11,116.64x = 15,340.40 × 6,147.68
  4. Step 4: Simplify right side
    11,116.64x = 94,307,870.27
  5. Step 5: Solve for x
    x = 94,307,870.27/11,116.64
  6. Step 6: Final answer
    x = 8,483.49

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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.