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Finding the Fourth Proportional to 11,498.61, 15,867.54 and 7,029.84

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Solution

The fourth proportional to 11,498.61, 15,867.54 and 7,029.84 is: 9,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.61 : 15,867.54 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    11,498.61/15,867.54 = 7,029.84/x
  3. Step 3: Cross multiply
    11,498.61x = 15,867.54 × 7,029.84
  4. Step 4: Simplify right side
    11,498.61x = 111,546,267.39
  5. Step 5: Solve for x
    x = 111,546,267.39/11,498.61
  6. Step 6: Final answer
    x = 9,700.85

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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.