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Finding the Fourth Proportional to 7,718.86, 10,652.01 and 4,182.06

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Solution

The fourth proportional to 7,718.86, 10,652.01 and 4,182.06 is: 5,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.86 : 10,652.01 = 4,182.06 : x
  2. Step 2: Convert to fraction form
    7,718.86/10,652.01 = 4,182.06/x
  3. Step 3: Cross multiply
    7,718.86x = 10,652.01 × 4,182.06
  4. Step 4: Simplify right side
    7,718.86x = 44,547,369.20
  5. Step 5: Solve for x
    x = 44,547,369.20/7,718.86
  6. Step 6: Final answer
    x = 5,771.24

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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.