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Finding the Fourth Proportional to 10,946.22, 15,103.01 and 6,695.74

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Solution

The fourth proportional to 10,946.22, 15,103.01 and 6,695.74 is: 9,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.22 : 15,103.01 = 6,695.74 : x
  2. Step 2: Convert to fraction form
    10,946.22/15,103.01 = 6,695.74/x
  3. Step 3: Cross multiply
    10,946.22x = 15,103.01 × 6,695.74
  4. Step 4: Simplify right side
    10,946.22x = 101,125,719.18
  5. Step 5: Solve for x
    x = 101,125,719.18/10,946.22
  6. Step 6: Final answer
    x = 9,238.41

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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.