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Finding the Fourth Proportional to 8,952.56, 13,430.22 and 4,567.64

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Solution

The fourth proportional to 8,952.56, 13,430.22 and 4,567.64 is: 6,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.56 : 13,430.22 = 4,567.64 : x
  2. Step 2: Convert to fraction form
    8,952.56/13,430.22 = 4,567.64/x
  3. Step 3: Cross multiply
    8,952.56x = 13,430.22 × 4,567.64
  4. Step 4: Simplify right side
    8,952.56x = 61,344,410.08
  5. Step 5: Solve for x
    x = 61,344,410.08/8,952.56
  6. Step 6: Final answer
    x = 6,852.16

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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.