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Finding the Fourth Proportional to 12,522.86, 17,280.35 and 7,486.08

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Solution

The fourth proportional to 12,522.86, 17,280.35 and 7,486.08 is: 10,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.86 : 17,280.35 = 7,486.08 : x
  2. Step 2: Convert to fraction form
    12,522.86/17,280.35 = 7,486.08/x
  3. Step 3: Cross multiply
    12,522.86x = 17,280.35 × 7,486.08
  4. Step 4: Simplify right side
    12,522.86x = 129,362,082.53
  5. Step 5: Solve for x
    x = 129,362,082.53/12,522.86
  6. Step 6: Final answer
    x = 10,330.07

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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.