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Finding the Fourth Proportional to 10,503.64, 14,495.02 and 5,787.88

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Solution

The fourth proportional to 10,503.64, 14,495.02 and 5,787.88 is: 7,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.64 : 14,495.02 = 5,787.88 : x
  2. Step 2: Convert to fraction form
    10,503.64/14,495.02 = 5,787.88/x
  3. Step 3: Cross multiply
    10,503.64x = 14,495.02 × 5,787.88
  4. Step 4: Simplify right side
    10,503.64x = 83,895,436.36
  5. Step 5: Solve for x
    x = 83,895,436.36/10,503.64
  6. Step 6: Final answer
    x = 7,987.27

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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.