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Finding the Fourth Proportional to 10,368.57, 14,297.31 and 7,005.54

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Solution

The fourth proportional to 10,368.57, 14,297.31 and 7,005.54 is: 9,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.57 : 14,297.31 = 7,005.54 : x
  2. Step 2: Convert to fraction form
    10,368.57/14,297.31 = 7,005.54/x
  3. Step 3: Cross multiply
    10,368.57x = 14,297.31 × 7,005.54
  4. Step 4: Simplify right side
    10,368.57x = 100,160,377.10
  5. Step 5: Solve for x
    x = 100,160,377.10/10,368.57
  6. Step 6: Final answer
    x = 9,660.00

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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.