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Finding the Fourth Proportional to 7,840.98, 10,818.90 and 5,006.57

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Solution

The fourth proportional to 7,840.98, 10,818.90 and 5,006.57 is: 6,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.98 : 10,818.90 = 5,006.57 : x
  2. Step 2: Convert to fraction form
    7,840.98/10,818.90 = 5,006.57/x
  3. Step 3: Cross multiply
    7,840.98x = 10,818.90 × 5,006.57
  4. Step 4: Simplify right side
    7,840.98x = 54,165,526.08
  5. Step 5: Solve for x
    x = 54,165,526.08/7,840.98
  6. Step 6: Final answer
    x = 6,908.00

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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.