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Finding the Fourth Proportional to 10,931.90, 15,086.21 and 6,216.21

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Solution

The fourth proportional to 10,931.90, 15,086.21 and 6,216.21 is: 8,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.90 : 15,086.21 = 6,216.21 : x
  2. Step 2: Convert to fraction form
    10,931.90/15,086.21 = 6,216.21/x
  3. Step 3: Cross multiply
    10,931.90x = 15,086.21 × 6,216.21
  4. Step 4: Simplify right side
    10,931.90x = 93,779,018.38
  5. Step 5: Solve for x
    x = 93,779,018.38/10,931.90
  6. Step 6: Final answer
    x = 8,578.48

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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.