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Finding the Fourth Proportional to 10,613.18, 14,643.50 and 7,074.02

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Solution

The fourth proportional to 10,613.18, 14,643.50 and 7,074.02 is: 9,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.18 : 14,643.50 = 7,074.02 : x
  2. Step 2: Convert to fraction form
    10,613.18/14,643.50 = 7,074.02/x
  3. Step 3: Cross multiply
    10,613.18x = 14,643.50 × 7,074.02
  4. Step 4: Simplify right side
    10,613.18x = 103,588,411.87
  5. Step 5: Solve for x
    x = 103,588,411.87/10,613.18
  6. Step 6: Final answer
    x = 9,760.36

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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.