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Finding the Fourth Proportional to 10,712.30, 14,767.43 and 7,515.63

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Solution

The fourth proportional to 10,712.30, 14,767.43 and 7,515.63 is: 10,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.30 : 14,767.43 = 7,515.63 : x
  2. Step 2: Convert to fraction form
    10,712.30/14,767.43 = 7,515.63/x
  3. Step 3: Cross multiply
    10,712.30x = 14,767.43 × 7,515.63
  4. Step 4: Simplify right side
    10,712.30x = 110,986,502.35
  5. Step 5: Solve for x
    x = 110,986,502.35/10,712.30
  6. Step 6: Final answer
    x = 10,360.67

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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.