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Finding the Fourth Proportional to 7,066.64, 10,602.08 and 4,258.52

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Solution

The fourth proportional to 7,066.64, 10,602.08 and 4,258.52 is: 6,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.64 : 10,602.08 = 4,258.52 : x
  2. Step 2: Convert to fraction form
    7,066.64/10,602.08 = 4,258.52/x
  3. Step 3: Cross multiply
    7,066.64x = 10,602.08 × 4,258.52
  4. Step 4: Simplify right side
    7,066.64x = 45,149,169.72
  5. Step 5: Solve for x
    x = 45,149,169.72/7,066.64
  6. Step 6: Final answer
    x = 6,389.06

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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.