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Finding the Fourth Proportional to 10,545.84, 14,552.69 and 6,301.71

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Solution

The fourth proportional to 10,545.84, 14,552.69 and 6,301.71 is: 8,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.84 : 14,552.69 = 6,301.71 : x
  2. Step 2: Convert to fraction form
    10,545.84/14,552.69 = 6,301.71/x
  3. Step 3: Cross multiply
    10,545.84x = 14,552.69 × 6,301.71
  4. Step 4: Simplify right side
    10,545.84x = 91,706,800.59
  5. Step 5: Solve for x
    x = 91,706,800.59/10,545.84
  6. Step 6: Final answer
    x = 8,696.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.