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Finding the Fourth Proportional to 7,141.66, 10,698.54 and 4,920.10

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Solution

The fourth proportional to 7,141.66, 10,698.54 and 4,920.10 is: 7,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.66 : 10,698.54 = 4,920.10 : x
  2. Step 2: Convert to fraction form
    7,141.66/10,698.54 = 4,920.10/x
  3. Step 3: Cross multiply
    7,141.66x = 10,698.54 × 4,920.10
  4. Step 4: Simplify right side
    7,141.66x = 52,637,886.65
  5. Step 5: Solve for x
    x = 52,637,886.65/7,141.66
  6. Step 6: Final answer
    x = 7,370.54

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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.