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Finding the Fourth Proportional to 7,862.52, 11,800.52 and 4,167.34

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Solution

The fourth proportional to 7,862.52, 11,800.52 and 4,167.34 is: 6,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.52 : 11,800.52 = 4,167.34 : x
  2. Step 2: Convert to fraction form
    7,862.52/11,800.52 = 4,167.34/x
  3. Step 3: Cross multiply
    7,862.52x = 11,800.52 × 4,167.34
  4. Step 4: Simplify right side
    7,862.52x = 49,176,779.02
  5. Step 5: Solve for x
    x = 49,176,779.02/7,862.52
  6. Step 6: Final answer
    x = 6,254.58

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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.