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Finding the Fourth Proportional to 6,774.24, 10,164.84 and 5,130.24

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Solution

The fourth proportional to 6,774.24, 10,164.84 and 5,130.24 is: 7,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.24 : 10,164.84 = 5,130.24 : x
  2. Step 2: Convert to fraction form
    6,774.24/10,164.84 = 5,130.24/x
  3. Step 3: Cross multiply
    6,774.24x = 10,164.84 × 5,130.24
  4. Step 4: Simplify right side
    6,774.24x = 52,148,068.76
  5. Step 5: Solve for x
    x = 52,148,068.76/6,774.24
  6. Step 6: Final answer
    x = 7,698.00

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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.