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Finding the Fourth Proportional to 7,642.09, 10,547.95 and 4,659.56

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Solution

The fourth proportional to 7,642.09, 10,547.95 and 4,659.56 is: 6,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.09 : 10,547.95 = 4,659.56 : x
  2. Step 2: Convert to fraction form
    7,642.09/10,547.95 = 4,659.56/x
  3. Step 3: Cross multiply
    7,642.09x = 10,547.95 × 4,659.56
  4. Step 4: Simplify right side
    7,642.09x = 49,148,860.02
  5. Step 5: Solve for x
    x = 49,148,860.02/7,642.09
  6. Step 6: Final answer
    x = 6,431.34

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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.