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Finding the Fourth Proportional to 6,700.24, 10,051.80 and 2,258.35

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Solution

The fourth proportional to 6,700.24, 10,051.80 and 2,258.35 is: 3,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.24 : 10,051.80 = 2,258.35 : x
  2. Step 2: Convert to fraction form
    6,700.24/10,051.80 = 2,258.35/x
  3. Step 3: Cross multiply
    6,700.24x = 10,051.80 × 2,258.35
  4. Step 4: Simplify right side
    6,700.24x = 22,700,482.53
  5. Step 5: Solve for x
    x = 22,700,482.53/6,700.24
  6. Step 6: Final answer
    x = 3,388.01

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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.