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Finding the Fourth Proportional to 10,746.68, 16,117.38 and 7,617.65

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Solution

The fourth proportional to 10,746.68, 16,117.38 and 7,617.65 is: 11,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.68 : 16,117.38 = 7,617.65 : x
  2. Step 2: Convert to fraction form
    10,746.68/16,117.38 = 7,617.65/x
  3. Step 3: Cross multiply
    10,746.68x = 16,117.38 × 7,617.65
  4. Step 4: Simplify right side
    10,746.68x = 122,776,479.17
  5. Step 5: Solve for x
    x = 122,776,479.17/10,746.68
  6. Step 6: Final answer
    x = 11,424.60

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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.