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Finding the Fourth Proportional to 10,018.64, 13,809.16 and 7,530.32

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Solution

The fourth proportional to 10,018.64, 13,809.16 and 7,530.32 is: 10,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.64 : 13,809.16 = 7,530.32 : x
  2. Step 2: Convert to fraction form
    10,018.64/13,809.16 = 7,530.32/x
  3. Step 3: Cross multiply
    10,018.64x = 13,809.16 × 7,530.32
  4. Step 4: Simplify right side
    10,018.64x = 103,987,393.73
  5. Step 5: Solve for x
    x = 103,987,393.73/10,018.64
  6. Step 6: Final answer
    x = 10,379.39

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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.