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Finding the Fourth Proportional to 11,282.95, 15,570.63 and 6,500.25

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Solution

The fourth proportional to 11,282.95, 15,570.63 and 6,500.25 is: 8,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.95 : 15,570.63 = 6,500.25 : x
  2. Step 2: Convert to fraction form
    11,282.95/15,570.63 = 6,500.25/x
  3. Step 3: Cross multiply
    11,282.95x = 15,570.63 × 6,500.25
  4. Step 4: Simplify right side
    11,282.95x = 101,212,979.53
  5. Step 5: Solve for x
    x = 101,212,979.53/11,282.95
  6. Step 6: Final answer
    x = 8,970.44

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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.