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Finding the Fourth Proportional to 10,516.62, 14,509.31 and 6,741.87

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Solution

The fourth proportional to 10,516.62, 14,509.31 and 6,741.87 is: 9,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.62 : 14,509.31 = 6,741.87 : x
  2. Step 2: Convert to fraction form
    10,516.62/14,509.31 = 6,741.87/x
  3. Step 3: Cross multiply
    10,516.62x = 14,509.31 × 6,741.87
  4. Step 4: Simplify right side
    10,516.62x = 97,819,881.81
  5. Step 5: Solve for x
    x = 97,819,881.81/10,516.62
  6. Step 6: Final answer
    x = 9,301.46

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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.