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Finding the Fourth Proportional to 10,565.64, 15,845.04 and 4,726.44

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Solution

The fourth proportional to 10,565.64, 15,845.04 and 4,726.44 is: 7,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.64 : 15,845.04 = 4,726.44 : x
  2. Step 2: Convert to fraction form
    10,565.64/15,845.04 = 4,726.44/x
  3. Step 3: Cross multiply
    10,565.64x = 15,845.04 × 4,726.44
  4. Step 4: Simplify right side
    10,565.64x = 74,890,630.86
  5. Step 5: Solve for x
    x = 74,890,630.86/10,565.64
  6. Step 6: Final answer
    x = 7,088.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.