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Finding the Fourth Proportional to 10,329.14, 14,254.08 and 5,613.32

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Solution

The fourth proportional to 10,329.14, 14,254.08 and 5,613.32 is: 7,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.14 : 14,254.08 = 5,613.32 : x
  2. Step 2: Convert to fraction form
    10,329.14/14,254.08 = 5,613.32/x
  3. Step 3: Cross multiply
    10,329.14x = 14,254.08 × 5,613.32
  4. Step 4: Simplify right side
    10,329.14x = 80,012,641.08
  5. Step 5: Solve for x
    x = 80,012,641.08/10,329.14
  6. Step 6: Final answer
    x = 7,746.31

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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.