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Finding the Fourth Proportional to 7,856.79, 11,782.14 and 2,925.30

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Solution

The fourth proportional to 7,856.79, 11,782.14 and 2,925.30 is: 4,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.79 : 11,782.14 = 2,925.30 : x
  2. Step 2: Convert to fraction form
    7,856.79/11,782.14 = 2,925.30/x
  3. Step 3: Cross multiply
    7,856.79x = 11,782.14 × 2,925.30
  4. Step 4: Simplify right side
    7,856.79x = 34,466,294.14
  5. Step 5: Solve for x
    x = 34,466,294.14/7,856.79
  6. Step 6: Final answer
    x = 4,386.82

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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.