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Finding the Fourth Proportional to 11,206.88, 15,465.84 and 8,407.52

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Solution

The fourth proportional to 11,206.88, 15,465.84 and 8,407.52 is: 11,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.88 : 15,465.84 = 8,407.52 : x
  2. Step 2: Convert to fraction form
    11,206.88/15,465.84 = 8,407.52/x
  3. Step 3: Cross multiply
    11,206.88x = 15,465.84 × 8,407.52
  4. Step 4: Simplify right side
    11,206.88x = 130,029,359.12
  5. Step 5: Solve for x
    x = 130,029,359.12/11,206.88
  6. Step 6: Final answer
    x = 11,602.64

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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.