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Finding the Fourth Proportional to 11,410.64, 15,746.80 and 6,695

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Solution

The fourth proportional to 11,410.64, 15,746.80 and 6,695 is: 9,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.64 : 15,746.80 = 6,695 : x
  2. Step 2: Convert to fraction form
    11,410.64/15,746.80 = 6,695/x
  3. Step 3: Cross multiply
    11,410.64x = 15,746.80 × 6,695
  4. Step 4: Simplify right side
    11,410.64x = 105,424,826
  5. Step 5: Solve for x
    x = 105,424,826/11,410.64
  6. Step 6: Final answer
    x = 9,239.17

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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.