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Finding the Fourth Proportional to 7,830.87, 10,803.59 and 4,998.35

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Solution

The fourth proportional to 7,830.87, 10,803.59 and 4,998.35 is: 6,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.87 : 10,803.59 = 4,998.35 : x
  2. Step 2: Convert to fraction form
    7,830.87/10,803.59 = 4,998.35/x
  3. Step 3: Cross multiply
    7,830.87x = 10,803.59 × 4,998.35
  4. Step 4: Simplify right side
    7,830.87x = 54,000,124.08
  5. Step 5: Solve for x
    x = 54,000,124.08/7,830.87
  6. Step 6: Final answer
    x = 6,895.80

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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.