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Finding the Fourth Proportional to 7,870.45, 11,792.05 and 5,526.00

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Solution

The fourth proportional to 7,870.45, 11,792.05 and 5,526.00 is: 8,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.45 : 11,792.05 = 5,526.00 : x
  2. Step 2: Convert to fraction form
    7,870.45/11,792.05 = 5,526.00/x
  3. Step 3: Cross multiply
    7,870.45x = 11,792.05 × 5,526.00
  4. Step 4: Simplify right side
    7,870.45x = 65,162,883.97
  5. Step 5: Solve for x
    x = 65,162,883.97/7,870.45
  6. Step 6: Final answer
    x = 8,279.44

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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.