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Finding the Fourth Proportional to 7,643.16, 10,537.70 and 5,125.68

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Solution

The fourth proportional to 7,643.16, 10,537.70 and 5,125.68 is: 7,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.16 : 10,537.70 = 5,125.68 : x
  2. Step 2: Convert to fraction form
    7,643.16/10,537.70 = 5,125.68/x
  3. Step 3: Cross multiply
    7,643.16x = 10,537.70 × 5,125.68
  4. Step 4: Simplify right side
    7,643.16x = 54,012,852.51
  5. Step 5: Solve for x
    x = 54,012,852.51/7,643.16
  6. Step 6: Final answer
    x = 7,066.82

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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.