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Finding the Fourth Proportional to 10,508.16, 14,501.28 and 5,792.46

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Solution

The fourth proportional to 10,508.16, 14,501.28 and 5,792.46 is: 7,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.16 : 14,501.28 = 5,792.46 : x
  2. Step 2: Convert to fraction form
    10,508.16/14,501.28 = 5,792.46/x
  3. Step 3: Cross multiply
    10,508.16x = 14,501.28 × 5,792.46
  4. Step 4: Simplify right side
    10,508.16x = 83,998,084.35
  5. Step 5: Solve for x
    x = 83,998,084.35/10,508.16
  6. Step 6: Final answer
    x = 7,993.61

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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.