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Finding the Fourth Proportional to 11,077.36, 15,289 and 6,364.88

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Solution

The fourth proportional to 11,077.36, 15,289 and 6,364.88 is: 8,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.36 : 15,289 = 6,364.88 : x
  2. Step 2: Convert to fraction form
    11,077.36/15,289 = 6,364.88/x
  3. Step 3: Cross multiply
    11,077.36x = 15,289 × 6,364.88
  4. Step 4: Simplify right side
    11,077.36x = 97,312,650.32
  5. Step 5: Solve for x
    x = 97,312,650.32/11,077.36
  6. Step 6: Final answer
    x = 8,784.82

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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.