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Finding the Fourth Proportional to 11,133.59, 15,364.58 and 6,098.02

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Solution

The fourth proportional to 11,133.59, 15,364.58 and 6,098.02 is: 8,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.59 : 15,364.58 = 6,098.02 : x
  2. Step 2: Convert to fraction form
    11,133.59/15,364.58 = 6,098.02/x
  3. Step 3: Cross multiply
    11,133.59x = 15,364.58 × 6,098.02
  4. Step 4: Simplify right side
    11,133.59x = 93,693,531.38
  5. Step 5: Solve for x
    x = 93,693,531.38/11,133.59
  6. Step 6: Final answer
    x = 8,415.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.