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Finding the Fourth Proportional to 11,565.54, 15,959.37 and 7,088.40

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Solution

The fourth proportional to 11,565.54, 15,959.37 and 7,088.40 is: 9,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.54 : 15,959.37 = 7,088.40 : x
  2. Step 2: Convert to fraction form
    11,565.54/15,959.37 = 7,088.40/x
  3. Step 3: Cross multiply
    11,565.54x = 15,959.37 × 7,088.40
  4. Step 4: Simplify right side
    11,565.54x = 113,126,398.31
  5. Step 5: Solve for x
    x = 113,126,398.31/11,565.54
  6. Step 6: Final answer
    x = 9,781.33

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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.