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Finding the Fourth Proportional to 10,488.62, 14,474.40 and 5,773

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Solution

The fourth proportional to 10,488.62, 14,474.40 and 5,773 is: 7,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.62 : 14,474.40 = 5,773 : x
  2. Step 2: Convert to fraction form
    10,488.62/14,474.40 = 5,773/x
  3. Step 3: Cross multiply
    10,488.62x = 14,474.40 × 5,773
  4. Step 4: Simplify right side
    10,488.62x = 83,560,711.20
  5. Step 5: Solve for x
    x = 83,560,711.20/10,488.62
  6. Step 6: Final answer
    x = 7,966.80

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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.