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Finding the Fourth Proportional to 10,508.47, 14,502.23 and 5,792.74

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Solution

The fourth proportional to 10,508.47, 14,502.23 and 5,792.74 is: 7,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.47 : 14,502.23 = 5,792.74 : x
  2. Step 2: Convert to fraction form
    10,508.47/14,502.23 = 5,792.74/x
  3. Step 3: Cross multiply
    10,508.47x = 14,502.23 × 5,792.74
  4. Step 4: Simplify right side
    10,508.47x = 84,007,618.85
  5. Step 5: Solve for x
    x = 84,007,618.85/10,508.47
  6. Step 6: Final answer
    x = 7,994.28

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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.