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Finding the Fourth Proportional to 7,488.04, 11,233.66 and 2,871

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Solution

The fourth proportional to 7,488.04, 11,233.66 and 2,871 is: 4,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.04 : 11,233.66 = 2,871 : x
  2. Step 2: Convert to fraction form
    7,488.04/11,233.66 = 2,871/x
  3. Step 3: Cross multiply
    7,488.04x = 11,233.66 × 2,871
  4. Step 4: Simplify right side
    7,488.04x = 32,251,837.86
  5. Step 5: Solve for x
    x = 32,251,837.86/7,488.04
  6. Step 6: Final answer
    x = 4,307.11

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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.