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Finding the Fourth Proportional to 10,475.58, 14,457.02 and 5,759.86

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Solution

The fourth proportional to 10,475.58, 14,457.02 and 5,759.86 is: 7,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.58 : 14,457.02 = 5,759.86 : x
  2. Step 2: Convert to fraction form
    10,475.58/14,457.02 = 5,759.86/x
  3. Step 3: Cross multiply
    10,475.58x = 14,457.02 × 5,759.86
  4. Step 4: Simplify right side
    10,475.58x = 83,270,411.22
  5. Step 5: Solve for x
    x = 83,270,411.22/10,475.58
  6. Step 6: Final answer
    x = 7,949.00

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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.