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Finding the Fourth Proportional to 7,565.52, 10,440.24 and 4,378.58

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Solution

The fourth proportional to 7,565.52, 10,440.24 and 4,378.58 is: 6,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.52 : 10,440.24 = 4,378.58 : x
  2. Step 2: Convert to fraction form
    7,565.52/10,440.24 = 4,378.58/x
  3. Step 3: Cross multiply
    7,565.52x = 10,440.24 × 4,378.58
  4. Step 4: Simplify right side
    7,565.52x = 45,713,426.06
  5. Step 5: Solve for x
    x = 45,713,426.06/7,565.52
  6. Step 6: Final answer
    x = 6,042.34

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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.