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Finding the Fourth Proportional to 7,565.88, 10,441.14 and 4,582.26

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Solution

The fourth proportional to 7,565.88, 10,441.14 and 4,582.26 is: 6,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.88 : 10,441.14 = 4,582.26 : x
  2. Step 2: Convert to fraction form
    7,565.88/10,441.14 = 4,582.26/x
  3. Step 3: Cross multiply
    7,565.88x = 10,441.14 × 4,582.26
  4. Step 4: Simplify right side
    7,565.88x = 47,844,018.18
  5. Step 5: Solve for x
    x = 47,844,018.18/7,565.88
  6. Step 6: Final answer
    x = 6,323.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.