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Finding the Fourth Proportional to 11,407.79, 15,733.70 and 6,931.45

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Solution

The fourth proportional to 11,407.79, 15,733.70 and 6,931.45 is: 9,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.79 : 15,733.70 = 6,931.45 : x
  2. Step 2: Convert to fraction form
    11,407.79/15,733.70 = 6,931.45/x
  3. Step 3: Cross multiply
    11,407.79x = 15,733.70 × 6,931.45
  4. Step 4: Simplify right side
    11,407.79x = 109,057,354.87
  5. Step 5: Solve for x
    x = 109,057,354.87/11,407.79
  6. Step 6: Final answer
    x = 9,559.90

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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.