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Finding the Fourth Proportional to 10,937.64, 15,094.14 and 6,222.08

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Solution

The fourth proportional to 10,937.64, 15,094.14 and 6,222.08 is: 8,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.64 : 15,094.14 = 6,222.08 : x
  2. Step 2: Convert to fraction form
    10,937.64/15,094.14 = 6,222.08/x
  3. Step 3: Cross multiply
    10,937.64x = 15,094.14 × 6,222.08
  4. Step 4: Simplify right side
    10,937.64x = 93,916,946.61
  5. Step 5: Solve for x
    x = 93,916,946.61/10,937.64
  6. Step 6: Final answer
    x = 8,586.58

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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.