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Finding the Fourth Proportional to 10,690.35, 14,728.53 and 7,457.07

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Solution

The fourth proportional to 10,690.35, 14,728.53 and 7,457.07 is: 10,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.35 : 14,728.53 = 7,457.07 : x
  2. Step 2: Convert to fraction form
    10,690.35/14,728.53 = 7,457.07/x
  3. Step 3: Cross multiply
    10,690.35x = 14,728.53 × 7,457.07
  4. Step 4: Simplify right side
    10,690.35x = 109,831,679.21
  5. Step 5: Solve for x
    x = 109,831,679.21/10,690.35
  6. Step 6: Final answer
    x = 10,273.91

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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.