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Finding the Fourth Proportional to 10,946.00, 15,102.70 and 6,695.51

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Solution

The fourth proportional to 10,946.00, 15,102.70 and 6,695.51 is: 9,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.00 : 15,102.70 = 6,695.51 : x
  2. Step 2: Convert to fraction form
    10,946.00/15,102.70 = 6,695.51/x
  3. Step 3: Cross multiply
    10,946.00x = 15,102.70 × 6,695.51
  4. Step 4: Simplify right side
    10,946.00x = 101,120,309.24
  5. Step 5: Solve for x
    x = 101,120,309.24/10,946.00
  6. Step 6: Final answer
    x = 9,238.10

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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.