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Finding the Fourth Proportional to 10,554.17, 14,564.31 and 5,838.15

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Solution

The fourth proportional to 10,554.17, 14,564.31 and 5,838.15 is: 8,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.17 : 14,564.31 = 5,838.15 : x
  2. Step 2: Convert to fraction form
    10,554.17/14,564.31 = 5,838.15/x
  3. Step 3: Cross multiply
    10,554.17x = 14,564.31 × 5,838.15
  4. Step 4: Simplify right side
    10,554.17x = 85,028,626.43
  5. Step 5: Solve for x
    x = 85,028,626.43/10,554.17
  6. Step 6: Final answer
    x = 8,056.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.