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Finding the Fourth Proportional to 10,505.32, 14,498.18 and 5,790.40

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Solution

The fourth proportional to 10,505.32, 14,498.18 and 5,790.40 is: 7,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.32 : 14,498.18 = 5,790.40 : x
  2. Step 2: Convert to fraction form
    10,505.32/14,498.18 = 5,790.40/x
  3. Step 3: Cross multiply
    10,505.32x = 14,498.18 × 5,790.40
  4. Step 4: Simplify right side
    10,505.32x = 83,950,261.47
  5. Step 5: Solve for x
    x = 83,950,261.47/10,505.32
  6. Step 6: Final answer
    x = 7,991.21

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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.