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Finding the Fourth Proportional to 8,498.17, 11,729.15 and 5,430.06

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Solution

The fourth proportional to 8,498.17, 11,729.15 and 5,430.06 is: 7,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.17 : 11,729.15 = 5,430.06 : x
  2. Step 2: Convert to fraction form
    8,498.17/11,729.15 = 5,430.06/x
  3. Step 3: Cross multiply
    8,498.17x = 11,729.15 × 5,430.06
  4. Step 4: Simplify right side
    8,498.17x = 63,689,980.38
  5. Step 5: Solve for x
    x = 63,689,980.38/8,498.17
  6. Step 6: Final answer
    x = 7,494.55

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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.