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Finding the Fourth Proportional to 10,358.82, 14,295.14 and 5,643.10

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Solution

The fourth proportional to 10,358.82, 14,295.14 and 5,643.10 is: 7,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.82 : 14,295.14 = 5,643.10 : x
  2. Step 2: Convert to fraction form
    10,358.82/14,295.14 = 5,643.10/x
  3. Step 3: Cross multiply
    10,358.82x = 14,295.14 × 5,643.10
  4. Step 4: Simplify right side
    10,358.82x = 80,668,904.53
  5. Step 5: Solve for x
    x = 80,668,904.53/10,358.82
  6. Step 6: Final answer
    x = 7,787.46

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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.