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Finding the Fourth Proportional to 7,014, 10,518.48 and 3,117.36

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Solution

The fourth proportional to 7,014, 10,518.48 and 3,117.36 is: 4,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 10,518.48 = 3,117.36 : x
  2. Step 2: Convert to fraction form
    7,014/10,518.48 = 3,117.36/x
  3. Step 3: Cross multiply
    7,014x = 10,518.48 × 3,117.36
  4. Step 4: Simplify right side
    7,014x = 32,789,888.81
  5. Step 5: Solve for x
    x = 32,789,888.81/7,014
  6. Step 6: Final answer
    x = 4,674.92

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