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Finding the Fourth Proportional to 11,578.85, 15,973.00 and 7,598.51

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Solution

The fourth proportional to 11,578.85, 15,973.00 and 7,598.51 is: 10,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.85 : 15,973.00 = 7,598.51 : x
  2. Step 2: Convert to fraction form
    11,578.85/15,973.00 = 7,598.51/x
  3. Step 3: Cross multiply
    11,578.85x = 15,973.00 × 7,598.51
  4. Step 4: Simplify right side
    11,578.85x = 121,370,961.27
  5. Step 5: Solve for x
    x = 121,370,961.27/11,578.85
  6. Step 6: Final answer
    x = 10,482.13

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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.