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Finding the Fourth Proportional to 7,875.42, 10,871.46 and 4,731

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Solution

The fourth proportional to 7,875.42, 10,871.46 and 4,731 is: 6,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.42 : 10,871.46 = 4,731 : x
  2. Step 2: Convert to fraction form
    7,875.42/10,871.46 = 4,731/x
  3. Step 3: Cross multiply
    7,875.42x = 10,871.46 × 4,731
  4. Step 4: Simplify right side
    7,875.42x = 51,432,877.26
  5. Step 5: Solve for x
    x = 51,432,877.26/7,875.42
  6. Step 6: Final answer
    x = 6,530.81

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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.