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Finding the Fourth Proportional to 10,358.72, 14,295.03 and 5,643

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Solution

The fourth proportional to 10,358.72, 14,295.03 and 5,643 is: 7,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.72 : 14,295.03 = 5,643 : x
  2. Step 2: Convert to fraction form
    10,358.72/14,295.03 = 5,643/x
  3. Step 3: Cross multiply
    10,358.72x = 14,295.03 × 5,643
  4. Step 4: Simplify right side
    10,358.72x = 80,666,854.29
  5. Step 5: Solve for x
    x = 80,666,854.29/10,358.72
  6. Step 6: Final answer
    x = 7,787.34

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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.