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Finding the Fourth Proportional to 6,875.59, 10,313.29 and 1,681.51

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Solution

The fourth proportional to 6,875.59, 10,313.29 and 1,681.51 is: 2,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.59 : 10,313.29 = 1,681.51 : x
  2. Step 2: Convert to fraction form
    6,875.59/10,313.29 = 1,681.51/x
  3. Step 3: Cross multiply
    6,875.59x = 10,313.29 × 1,681.51
  4. Step 4: Simplify right side
    6,875.59x = 17,341,900.27
  5. Step 5: Solve for x
    x = 17,341,900.27/6,875.59
  6. Step 6: Final answer
    x = 2,522.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.