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Finding the Fourth Proportional to 10,482.48, 15,718.86 and 6,101.19

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Solution

The fourth proportional to 10,482.48, 15,718.86 and 6,101.19 is: 9,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.48 : 15,718.86 = 6,101.19 : x
  2. Step 2: Convert to fraction form
    10,482.48/15,718.86 = 6,101.19/x
  3. Step 3: Cross multiply
    10,482.48x = 15,718.86 × 6,101.19
  4. Step 4: Simplify right side
    10,482.48x = 95,903,751.44
  5. Step 5: Solve for x
    x = 95,903,751.44/10,482.48
  6. Step 6: Final answer
    x = 9,148.96

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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.