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Finding the Fourth Proportional to 7,856.40, 11,780.60 and 4,570.16

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Solution

The fourth proportional to 7,856.40, 11,780.60 and 4,570.16 is: 6,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.40 : 11,780.60 = 4,570.16 : x
  2. Step 2: Convert to fraction form
    7,856.40/11,780.60 = 4,570.16/x
  3. Step 3: Cross multiply
    7,856.40x = 11,780.60 × 4,570.16
  4. Step 4: Simplify right side
    7,856.40x = 53,839,226.90
  5. Step 5: Solve for x
    x = 53,839,226.90/7,856.40
  6. Step 6: Final answer
    x = 6,852.91

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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.