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Finding the Fourth Proportional to 12,004.44, 16,565.34 and 7,528

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Solution

The fourth proportional to 12,004.44, 16,565.34 and 7,528 is: 10,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.44 : 16,565.34 = 7,528 : x
  2. Step 2: Convert to fraction form
    12,004.44/16,565.34 = 7,528/x
  3. Step 3: Cross multiply
    12,004.44x = 16,565.34 × 7,528
  4. Step 4: Simplify right side
    12,004.44x = 124,703,879.52
  5. Step 5: Solve for x
    x = 124,703,879.52/12,004.44
  6. Step 6: Final answer
    x = 10,388.15

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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.