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Finding the Fourth Proportional to 7,966.10, 11,947.59 and 7,570.98

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Solution

The fourth proportional to 7,966.10, 11,947.59 and 7,570.98 is: 11,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.10 : 11,947.59 = 7,570.98 : x
  2. Step 2: Convert to fraction form
    7,966.10/11,947.59 = 7,570.98/x
  3. Step 3: Cross multiply
    7,966.10x = 11,947.59 × 7,570.98
  4. Step 4: Simplify right side
    7,966.10x = 90,454,964.94
  5. Step 5: Solve for x
    x = 90,454,964.94/7,966.10
  6. Step 6: Final answer
    x = 11,354.98

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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.