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Finding the Fourth Proportional to 7,570.87, 10,448.04 and 4,168.02

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Solution

The fourth proportional to 7,570.87, 10,448.04 and 4,168.02 is: 5,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.87 : 10,448.04 = 4,168.02 : x
  2. Step 2: Convert to fraction form
    7,570.87/10,448.04 = 4,168.02/x
  3. Step 3: Cross multiply
    7,570.87x = 10,448.04 × 4,168.02
  4. Step 4: Simplify right side
    7,570.87x = 43,547,639.68
  5. Step 5: Solve for x
    x = 43,547,639.68/7,570.87
  6. Step 6: Final answer
    x = 5,752.00

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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.