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Finding the Fourth Proportional to 11,312.64, 15,610.92 and 6,838.96

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Solution

The fourth proportional to 11,312.64, 15,610.92 and 6,838.96 is: 9,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.64 : 15,610.92 = 6,838.96 : x
  2. Step 2: Convert to fraction form
    11,312.64/15,610.92 = 6,838.96/x
  3. Step 3: Cross multiply
    11,312.64x = 15,610.92 × 6,838.96
  4. Step 4: Simplify right side
    11,312.64x = 106,762,457.44
  5. Step 5: Solve for x
    x = 106,762,457.44/11,312.64
  6. Step 6: Final answer
    x = 9,437.45

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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.