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Finding the Fourth Proportional to 10,750.17, 14,831.67 and 6,502.53

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Solution

The fourth proportional to 10,750.17, 14,831.67 and 6,502.53 is: 8,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.17 : 14,831.67 = 6,502.53 : x
  2. Step 2: Convert to fraction form
    10,750.17/14,831.67 = 6,502.53/x
  3. Step 3: Cross multiply
    10,750.17x = 14,831.67 × 6,502.53
  4. Step 4: Simplify right side
    10,750.17x = 96,443,379.13
  5. Step 5: Solve for x
    x = 96,443,379.13/10,750.17
  6. Step 6: Final answer
    x = 8,971.34

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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.