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Finding the Fourth Proportional to 7,282.80, 10,038.60 and 5,708.16

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Solution

The fourth proportional to 7,282.80, 10,038.60 and 5,708.16 is: 7,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.80 : 10,038.60 = 5,708.16 : x
  2. Step 2: Convert to fraction form
    7,282.80/10,038.60 = 5,708.16/x
  3. Step 3: Cross multiply
    7,282.80x = 10,038.60 × 5,708.16
  4. Step 4: Simplify right side
    7,282.80x = 57,301,934.98
  5. Step 5: Solve for x
    x = 57,301,934.98/7,282.80
  6. Step 6: Final answer
    x = 7,868.12

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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.