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Finding the Fourth Proportional to 11,498.07, 15,866.80 and 7,029.30

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Solution

The fourth proportional to 11,498.07, 15,866.80 and 7,029.30 is: 9,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.07 : 15,866.80 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    11,498.07/15,866.80 = 7,029.30/x
  3. Step 3: Cross multiply
    11,498.07x = 15,866.80 × 7,029.30
  4. Step 4: Simplify right side
    11,498.07x = 111,532,497.24
  5. Step 5: Solve for x
    x = 111,532,497.24/11,498.07
  6. Step 6: Final answer
    x = 9,700.11

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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.