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Finding the Fourth Proportional to 11,164.45, 15,407.50 and 6,128.63

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Solution

The fourth proportional to 11,164.45, 15,407.50 and 6,128.63 is: 8,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.45 : 15,407.50 = 6,128.63 : x
  2. Step 2: Convert to fraction form
    11,164.45/15,407.50 = 6,128.63/x
  3. Step 3: Cross multiply
    11,164.45x = 15,407.50 × 6,128.63
  4. Step 4: Simplify right side
    11,164.45x = 94,426,866.73
  5. Step 5: Solve for x
    x = 94,426,866.73/11,164.45
  6. Step 6: Final answer
    x = 8,457.82

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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.