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Finding the Fourth Proportional to 8,114.04, 11,196.36 and 4,758

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Solution

The fourth proportional to 8,114.04, 11,196.36 and 4,758 is: 6,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.04 : 11,196.36 = 4,758 : x
  2. Step 2: Convert to fraction form
    8,114.04/11,196.36 = 4,758/x
  3. Step 3: Cross multiply
    8,114.04x = 11,196.36 × 4,758
  4. Step 4: Simplify right side
    8,114.04x = 53,272,280.88
  5. Step 5: Solve for x
    x = 53,272,280.88/8,114.04
  6. Step 6: Final answer
    x = 6,565.44

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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.