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Finding the Fourth Proportional to 8,292.76, 11,445.64 and 4,758.32

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Solution

The fourth proportional to 8,292.76, 11,445.64 and 4,758.32 is: 6,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.76 : 11,445.64 = 4,758.32 : x
  2. Step 2: Convert to fraction form
    8,292.76/11,445.64 = 4,758.32/x
  3. Step 3: Cross multiply
    8,292.76x = 11,445.64 × 4,758.32
  4. Step 4: Simplify right side
    8,292.76x = 54,462,017.72
  5. Step 5: Solve for x
    x = 54,462,017.72/8,292.76
  6. Step 6: Final answer
    x = 6,567.42

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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.