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Finding the Fourth Proportional to 7,565.78, 10,437.92 and 4,693.19

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Solution

The fourth proportional to 7,565.78, 10,437.92 and 4,693.19 is: 6,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.78 : 10,437.92 = 4,693.19 : x
  2. Step 2: Convert to fraction form
    7,565.78/10,437.92 = 4,693.19/x
  3. Step 3: Cross multiply
    7,565.78x = 10,437.92 × 4,693.19
  4. Step 4: Simplify right side
    7,565.78x = 48,987,066.11
  5. Step 5: Solve for x
    x = 48,987,066.11/7,565.78
  6. Step 6: Final answer
    x = 6,474.82

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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.