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Finding the Fourth Proportional to 10,624.46, 15,998.42 and 7,870.65

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Solution

The fourth proportional to 10,624.46, 15,998.42 and 7,870.65 is: 11,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.46 : 15,998.42 = 7,870.65 : x
  2. Step 2: Convert to fraction form
    10,624.46/15,998.42 = 7,870.65/x
  3. Step 3: Cross multiply
    10,624.46x = 15,998.42 × 7,870.65
  4. Step 4: Simplify right side
    10,624.46x = 125,917,925.02
  5. Step 5: Solve for x
    x = 125,917,925.02/10,624.46
  6. Step 6: Final answer
    x = 11,851.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.