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Finding the Fourth Proportional to 7,805.16, 11,712.35 and 2,878.24

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Solution

The fourth proportional to 7,805.16, 11,712.35 and 2,878.24 is: 4,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.16 : 11,712.35 = 2,878.24 : x
  2. Step 2: Convert to fraction form
    7,805.16/11,712.35 = 2,878.24/x
  3. Step 3: Cross multiply
    7,805.16x = 11,712.35 × 2,878.24
  4. Step 4: Simplify right side
    7,805.16x = 33,710,954.26
  5. Step 5: Solve for x
    x = 33,710,954.26/7,805.16
  6. Step 6: Final answer
    x = 4,319.06

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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.