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Finding the Fourth Proportional to 11,164.55, 15,406.13 and 6,128.74

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Solution

The fourth proportional to 11,164.55, 15,406.13 and 6,128.74 is: 8,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.55 : 15,406.13 = 6,128.74 : x
  2. Step 2: Convert to fraction form
    11,164.55/15,406.13 = 6,128.74/x
  3. Step 3: Cross multiply
    11,164.55x = 15,406.13 × 6,128.74
  4. Step 4: Simplify right side
    11,164.55x = 94,420,199.76
  5. Step 5: Solve for x
    x = 94,420,199.76/11,164.55
  6. Step 6: Final answer
    x = 8,457.15

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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.