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Finding the Fourth Proportional to 12,707.72, 17,537.90 and 7,330.40

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Solution

The fourth proportional to 12,707.72, 17,537.90 and 7,330.40 is: 10,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.72 : 17,537.90 = 7,330.40 : x
  2. Step 2: Convert to fraction form
    12,707.72/17,537.90 = 7,330.40/x
  3. Step 3: Cross multiply
    12,707.72x = 17,537.90 × 7,330.40
  4. Step 4: Simplify right side
    12,707.72x = 128,559,822.16
  5. Step 5: Solve for x
    x = 128,559,822.16/12,707.72
  6. Step 6: Final answer
    x = 10,116.67

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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.