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Finding the Fourth Proportional to 11,116, 15,340.24 and 6,148.32

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Solution

The fourth proportional to 11,116, 15,340.24 and 6,148.32 is: 8,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116 : 15,340.24 = 6,148.32 : x
  2. Step 2: Convert to fraction form
    11,116/15,340.24 = 6,148.32/x
  3. Step 3: Cross multiply
    11,116x = 15,340.24 × 6,148.32
  4. Step 4: Simplify right side
    11,116x = 94,316,704.40
  5. Step 5: Solve for x
    x = 94,316,704.40/11,116
  6. Step 6: Final answer
    x = 8,484.77

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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.