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Finding the Fourth Proportional to 11,031.76, 15,223.62 and 6,315.76

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Solution

The fourth proportional to 11,031.76, 15,223.62 and 6,315.76 is: 8,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.76 : 15,223.62 = 6,315.76 : x
  2. Step 2: Convert to fraction form
    11,031.76/15,223.62 = 6,315.76/x
  3. Step 3: Cross multiply
    11,031.76x = 15,223.62 × 6,315.76
  4. Step 4: Simplify right side
    11,031.76x = 96,148,730.25
  5. Step 5: Solve for x
    x = 96,148,730.25/11,031.76
  6. Step 6: Final answer
    x = 8,715.63

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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.