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Finding the Fourth Proportional to 7,900.17, 10,842.06 and 7,152.49

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Solution

The fourth proportional to 7,900.17, 10,842.06 and 7,152.49 is: 9,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.17 : 10,842.06 = 7,152.49 : x
  2. Step 2: Convert to fraction form
    7,900.17/10,842.06 = 7,152.49/x
  3. Step 3: Cross multiply
    7,900.17x = 10,842.06 × 7,152.49
  4. Step 4: Simplify right side
    7,900.17x = 77,547,725.73
  5. Step 5: Solve for x
    x = 77,547,725.73/7,900.17
  6. Step 6: Final answer
    x = 9,815.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.