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Finding the Fourth Proportional to 8,697.96, 13,030.50 and 4,313.01

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Solution

The fourth proportional to 8,697.96, 13,030.50 and 4,313.01 is: 6,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.96 : 13,030.50 = 4,313.01 : x
  2. Step 2: Convert to fraction form
    8,697.96/13,030.50 = 4,313.01/x
  3. Step 3: Cross multiply
    8,697.96x = 13,030.50 × 4,313.01
  4. Step 4: Simplify right side
    8,697.96x = 56,200,676.81
  5. Step 5: Solve for x
    x = 56,200,676.81/8,697.96
  6. Step 6: Final answer
    x = 6,461.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.