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Finding the Fourth Proportional to 10,488.21, 14,473.62 and 5,772.39

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Solution

The fourth proportional to 10,488.21, 14,473.62 and 5,772.39 is: 7,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.21 : 14,473.62 = 5,772.39 : x
  2. Step 2: Convert to fraction form
    10,488.21/14,473.62 = 5,772.39/x
  3. Step 3: Cross multiply
    10,488.21x = 14,473.62 × 5,772.39
  4. Step 4: Simplify right side
    10,488.21x = 83,547,379.35
  5. Step 5: Solve for x
    x = 83,547,379.35/10,488.21
  6. Step 6: Final answer
    x = 7,965.84

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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.