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Finding the Fourth Proportional to 11,875.50, 16,387.50 and 6,570

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Solution

The fourth proportional to 11,875.50, 16,387.50 and 6,570 is: 9,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.50 : 16,387.50 = 6,570 : x
  2. Step 2: Convert to fraction form
    11,875.50/16,387.50 = 6,570/x
  3. Step 3: Cross multiply
    11,875.50x = 16,387.50 × 6,570
  4. Step 4: Simplify right side
    11,875.50x = 107,665,875
  5. Step 5: Solve for x
    x = 107,665,875/11,875.50
  6. Step 6: Final answer
    x = 9,066.22

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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.