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Finding the Fourth Proportional to 11,875.68, 16,387.92 and 6,570.45

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Solution

The fourth proportional to 11,875.68, 16,387.92 and 6,570.45 is: 9,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.68 : 16,387.92 = 6,570.45 : x
  2. Step 2: Convert to fraction form
    11,875.68/16,387.92 = 6,570.45/x
  3. Step 3: Cross multiply
    11,875.68x = 16,387.92 × 6,570.45
  4. Step 4: Simplify right side
    11,875.68x = 107,676,008.96
  5. Step 5: Solve for x
    x = 107,676,008.96/11,875.68
  6. Step 6: Final answer
    x = 9,066.93

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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.