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Finding the Fourth Proportional to 7,810.10, 11,702.19 and 5,496.74

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Solution

The fourth proportional to 7,810.10, 11,702.19 and 5,496.74 is: 8,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.10 : 11,702.19 = 5,496.74 : x
  2. Step 2: Convert to fraction form
    7,810.10/11,702.19 = 5,496.74/x
  3. Step 3: Cross multiply
    7,810.10x = 11,702.19 × 5,496.74
  4. Step 4: Simplify right side
    7,810.10x = 64,323,895.86
  5. Step 5: Solve for x
    x = 64,323,895.86/7,810.10
  6. Step 6: Final answer
    x = 8,235.99

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Why These Related Problems?

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