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Finding the Fourth Proportional to 8,307.50, 11,465.82 and 4,952.25

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Solution

The fourth proportional to 8,307.50, 11,465.82 and 4,952.25 is: 6,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.50 : 11,465.82 = 4,952.25 : x
  2. Step 2: Convert to fraction form
    8,307.50/11,465.82 = 4,952.25/x
  3. Step 3: Cross multiply
    8,307.50x = 11,465.82 × 4,952.25
  4. Step 4: Simplify right side
    8,307.50x = 56,781,607.10
  5. Step 5: Solve for x
    x = 56,781,607.10/8,307.50
  6. Step 6: Final answer
    x = 6,834.99

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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.