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Finding the Fourth Proportional to 28,186.12, 42,275.82 and 7,411.24

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Solution

The fourth proportional to 28,186.12, 42,275.82 and 7,411.24 is: 11,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186.12 : 42,275.82 = 7,411.24 : x
  2. Step 2: Convert to fraction form
    28,186.12/42,275.82 = 7,411.24/x
  3. Step 3: Cross multiply
    28,186.12x = 42,275.82 × 7,411.24
  4. Step 4: Simplify right side
    28,186.12x = 313,316,248.22
  5. Step 5: Solve for x
    x = 313,316,248.22/28,186.12
  6. Step 6: Final answer
    x = 11,115.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.