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Finding the Fourth Proportional to 10,475.40, 15,693.66 and 7,006.44

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Solution

The fourth proportional to 10,475.40, 15,693.66 and 7,006.44 is: 10,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.40 : 15,693.66 = 7,006.44 : x
  2. Step 2: Convert to fraction form
    10,475.40/15,693.66 = 7,006.44/x
  3. Step 3: Cross multiply
    10,475.40x = 15,693.66 × 7,006.44
  4. Step 4: Simplify right side
    10,475.40x = 109,956,687.17
  5. Step 5: Solve for x
    x = 109,956,687.17/10,475.40
  6. Step 6: Final answer
    x = 10,496.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.