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Finding the Fourth Proportional to 7,810.60, 11,702.94 and 5,497.24

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Solution

The fourth proportional to 7,810.60, 11,702.94 and 5,497.24 is: 8,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.60 : 11,702.94 = 5,497.24 : x
  2. Step 2: Convert to fraction form
    7,810.60/11,702.94 = 5,497.24/x
  3. Step 3: Cross multiply
    7,810.60x = 11,702.94 × 5,497.24
  4. Step 4: Simplify right side
    7,810.60x = 64,333,869.89
  5. Step 5: Solve for x
    x = 64,333,869.89/7,810.60
  6. Step 6: Final answer
    x = 8,236.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.