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Finding the Fourth Proportional to 10,937.47, 15,092.34 and 6,156.82

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Solution

The fourth proportional to 10,937.47, 15,092.34 and 6,156.82 is: 8,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.47 : 15,092.34 = 6,156.82 : x
  2. Step 2: Convert to fraction form
    10,937.47/15,092.34 = 6,156.82/x
  3. Step 3: Cross multiply
    10,937.47x = 15,092.34 × 6,156.82
  4. Step 4: Simplify right side
    10,937.47x = 92,920,820.76
  5. Step 5: Solve for x
    x = 92,920,820.76/10,937.47
  6. Step 6: Final answer
    x = 8,495.64

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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.