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Finding the Fourth Proportional to 10,894.27, 15,031.78 and 7,122.95

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Solution

The fourth proportional to 10,894.27, 15,031.78 and 7,122.95 is: 9,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.27 : 15,031.78 = 7,122.95 : x
  2. Step 2: Convert to fraction form
    10,894.27/15,031.78 = 7,122.95/x
  3. Step 3: Cross multiply
    10,894.27x = 15,031.78 × 7,122.95
  4. Step 4: Simplify right side
    10,894.27x = 107,070,617.35
  5. Step 5: Solve for x
    x = 107,070,617.35/10,894.27
  6. Step 6: Final answer
    x = 9,828.16

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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.