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Finding the Fourth Proportional to 7,780.86, 10,738.98 and 4,637.25

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Solution

The fourth proportional to 7,780.86, 10,738.98 and 4,637.25 is: 6,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.86 : 10,738.98 = 4,637.25 : x
  2. Step 2: Convert to fraction form
    7,780.86/10,738.98 = 4,637.25/x
  3. Step 3: Cross multiply
    7,780.86x = 10,738.98 × 4,637.25
  4. Step 4: Simplify right side
    7,780.86x = 49,799,335.01
  5. Step 5: Solve for x
    x = 49,799,335.01/7,780.86
  6. Step 6: Final answer
    x = 6,400.24

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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.